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Simplifying -3(2x + 6) + -4 + 5x = 4(x + -5) + 9 + -2x Reorder the terms: -3(6 + 2x) + -4 + 5x = 4(x + -5) + 9 + -2x (6 * -3 + 2x * -3) + -4 + 5x = 4(x + -5) + 9 + -2x (-18 + -6x) + -4 + 5x = 4(x + -5) + 9 + -2x Reorder the terms: -18 + -4 + -6x + 5x = 4(x + -5) + 9 + -2x Combine like terms: -18 + -4 = -22 -22 + -6x + 5x = 4(x + -5) + 9 + -2x Combine like terms: -6x + 5x = -1x -22 + -1x = 4(x + -5) + 9 + -2x Reorder the terms: -22 + -1x = 4(-5 + x) + 9 + -2x -22 + -1x = (-5 * 4 + x * 4) + 9 + -2x -22 + -1x = (-20 + 4x) + 9 + -2x Reorder the terms: -22 + -1x = -20 + 9 + 4x + -2x Combine like terms: -20 + 9 = -11 -22 + -1x = -11 + 4x + -2x Combine like terms: 4x + -2x = 2x -22 + -1x = -11 + 2x Solving -22 + -1x = -11 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -22 + -1x + -2x = -11 + 2x + -2x Combine like terms: -1x + -2x = -3x -22 + -3x = -11 + 2x + -2x Combine like terms: 2x + -2x = 0 -22 + -3x = -11 + 0 -22 + -3x = -11 Add '22' to each side of the equation. -22 + 22 + -3x = -11 + 22 Combine like terms: -22 + 22 = 0 0 + -3x = -11 + 22 -3x = -11 + 22 Combine like terms: -11 + 22 = 11 -3x = 11 Divide each side by '-3'. x = -3.666666667 Simplifying x = -3.666666667
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