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Simplifying 2(4x + -5) + -4(1 + 3x) = 12 + -3(x + -1) Reorder the terms: 2(-5 + 4x) + -4(1 + 3x) = 12 + -3(x + -1) (-5 * 2 + 4x * 2) + -4(1 + 3x) = 12 + -3(x + -1) (-10 + 8x) + -4(1 + 3x) = 12 + -3(x + -1) -10 + 8x + (1 * -4 + 3x * -4) = 12 + -3(x + -1) -10 + 8x + (-4 + -12x) = 12 + -3(x + -1) Reorder the terms: -10 + -4 + 8x + -12x = 12 + -3(x + -1) Combine like terms: -10 + -4 = -14 -14 + 8x + -12x = 12 + -3(x + -1) Combine like terms: 8x + -12x = -4x -14 + -4x = 12 + -3(x + -1) Reorder the terms: -14 + -4x = 12 + -3(-1 + x) -14 + -4x = 12 + (-1 * -3 + x * -3) -14 + -4x = 12 + (3 + -3x) Combine like terms: 12 + 3 = 15 -14 + -4x = 15 + -3x Solving -14 + -4x = 15 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -14 + -4x + 3x = 15 + -3x + 3x Combine like terms: -4x + 3x = -1x -14 + -1x = 15 + -3x + 3x Combine like terms: -3x + 3x = 0 -14 + -1x = 15 + 0 -14 + -1x = 15 Add '14' to each side of the equation. -14 + 14 + -1x = 15 + 14 Combine like terms: -14 + 14 = 0 0 + -1x = 15 + 14 -1x = 15 + 14 Combine like terms: 15 + 14 = 29 -1x = 29 Divide each side by '-1'. x = -29 Simplifying x = -29
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