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