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