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Simplifying -4(x + 2) + 3(x + -1) + -2 = 4(x + -2) + 9 Reorder the terms: -4(2 + x) + 3(x + -1) + -2 = 4(x + -2) + 9 (2 * -4 + x * -4) + 3(x + -1) + -2 = 4(x + -2) + 9 (-8 + -4x) + 3(x + -1) + -2 = 4(x + -2) + 9 Reorder the terms: -8 + -4x + 3(-1 + x) + -2 = 4(x + -2) + 9 -8 + -4x + (-1 * 3 + x * 3) + -2 = 4(x + -2) + 9 -8 + -4x + (-3 + 3x) + -2 = 4(x + -2) + 9 Reorder the terms: -8 + -3 + -2 + -4x + 3x = 4(x + -2) + 9 Combine like terms: -8 + -3 = -11 -11 + -2 + -4x + 3x = 4(x + -2) + 9 Combine like terms: -11 + -2 = -13 -13 + -4x + 3x = 4(x + -2) + 9 Combine like terms: -4x + 3x = -1x -13 + -1x = 4(x + -2) + 9 Reorder the terms: -13 + -1x = 4(-2 + x) + 9 -13 + -1x = (-2 * 4 + x * 4) + 9 -13 + -1x = (-8 + 4x) + 9 Reorder the terms: -13 + -1x = -8 + 9 + 4x Combine like terms: -8 + 9 = 1 -13 + -1x = 1 + 4x Solving -13 + -1x = 1 + 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. -13 + -1x + -4x = 1 + 4x + -4x Combine like terms: -1x + -4x = -5x -13 + -5x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 -13 + -5x = 1 + 0 -13 + -5x = 1 Add '13' to each side of the equation. -13 + 13 + -5x = 1 + 13 Combine like terms: -13 + 13 = 0 0 + -5x = 1 + 13 -5x = 1 + 13 Combine like terms: 1 + 13 = 14 -5x = 14 Divide each side by '-5'. x = -2.8 Simplifying x = -2.8
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