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Simplifying 4(2x + -5) + -3(4x + -2) + -10x = 14 + 3(4x + -5) + -2(7 + -1x) Reorder the terms: 4(-5 + 2x) + -3(4x + -2) + -10x = 14 + 3(4x + -5) + -2(7 + -1x) (-5 * 4 + 2x * 4) + -3(4x + -2) + -10x = 14 + 3(4x + -5) + -2(7 + -1x) (-20 + 8x) + -3(4x + -2) + -10x = 14 + 3(4x + -5) + -2(7 + -1x) Reorder the terms: -20 + 8x + -3(-2 + 4x) + -10x = 14 + 3(4x + -5) + -2(7 + -1x) -20 + 8x + (-2 * -3 + 4x * -3) + -10x = 14 + 3(4x + -5) + -2(7 + -1x) -20 + 8x + (6 + -12x) + -10x = 14 + 3(4x + -5) + -2(7 + -1x) Reorder the terms: -20 + 6 + 8x + -12x + -10x = 14 + 3(4x + -5) + -2(7 + -1x) Combine like terms: -20 + 6 = -14 -14 + 8x + -12x + -10x = 14 + 3(4x + -5) + -2(7 + -1x) Combine like terms: 8x + -12x = -4x -14 + -4x + -10x = 14 + 3(4x + -5) + -2(7 + -1x) Combine like terms: -4x + -10x = -14x -14 + -14x = 14 + 3(4x + -5) + -2(7 + -1x) Reorder the terms: -14 + -14x = 14 + 3(-5 + 4x) + -2(7 + -1x) -14 + -14x = 14 + (-5 * 3 + 4x * 3) + -2(7 + -1x) -14 + -14x = 14 + (-15 + 12x) + -2(7 + -1x) -14 + -14x = 14 + -15 + 12x + (7 * -2 + -1x * -2) -14 + -14x = 14 + -15 + 12x + (-14 + 2x) Reorder the terms: -14 + -14x = 14 + -15 + -14 + 12x + 2x Combine like terms: 14 + -15 = -1 -14 + -14x = -1 + -14 + 12x + 2x Combine like terms: -1 + -14 = -15 -14 + -14x = -15 + 12x + 2x Combine like terms: 12x + 2x = 14x -14 + -14x = -15 + 14x Solving -14 + -14x = -15 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -14 + -14x + -14x = -15 + 14x + -14x Combine like terms: -14x + -14x = -28x -14 + -28x = -15 + 14x + -14x Combine like terms: 14x + -14x = 0 -14 + -28x = -15 + 0 -14 + -28x = -15 Add '14' to each side of the equation. -14 + 14 + -28x = -15 + 14 Combine like terms: -14 + 14 = 0 0 + -28x = -15 + 14 -28x = -15 + 14 Combine like terms: -15 + 14 = -1 -28x = -1 Divide each side by '-28'. x = 0.03571428571 Simplifying x = 0.03571428571
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