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Simplifying 3(4x + -3) + -2(3 + 4x) = -5 + 3(x + -2) + 2x Reorder the terms: 3(-3 + 4x) + -2(3 + 4x) = -5 + 3(x + -2) + 2x (-3 * 3 + 4x * 3) + -2(3 + 4x) = -5 + 3(x + -2) + 2x (-9 + 12x) + -2(3 + 4x) = -5 + 3(x + -2) + 2x -9 + 12x + (3 * -2 + 4x * -2) = -5 + 3(x + -2) + 2x -9 + 12x + (-6 + -8x) = -5 + 3(x + -2) + 2x Reorder the terms: -9 + -6 + 12x + -8x = -5 + 3(x + -2) + 2x Combine like terms: -9 + -6 = -15 -15 + 12x + -8x = -5 + 3(x + -2) + 2x Combine like terms: 12x + -8x = 4x -15 + 4x = -5 + 3(x + -2) + 2x Reorder the terms: -15 + 4x = -5 + 3(-2 + x) + 2x -15 + 4x = -5 + (-2 * 3 + x * 3) + 2x -15 + 4x = -5 + (-6 + 3x) + 2x Combine like terms: -5 + -6 = -11 -15 + 4x = -11 + 3x + 2x Combine like terms: 3x + 2x = 5x -15 + 4x = -11 + 5x Solving -15 + 4x = -11 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -15 + 4x + -5x = -11 + 5x + -5x Combine like terms: 4x + -5x = -1x -15 + -1x = -11 + 5x + -5x Combine like terms: 5x + -5x = 0 -15 + -1x = -11 + 0 -15 + -1x = -11 Add '15' to each side of the equation. -15 + 15 + -1x = -11 + 15 Combine like terms: -15 + 15 = 0 0 + -1x = -11 + 15 -1x = -11 + 15 Combine like terms: -11 + 15 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4
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