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Simplifying -2(x + -3) = 4(x + 2) + -9 Reorder the terms: -2(-3 + x) = 4(x + 2) + -9 (-3 * -2 + x * -2) = 4(x + 2) + -9 (6 + -2x) = 4(x + 2) + -9 Reorder the terms: 6 + -2x = 4(2 + x) + -9 6 + -2x = (2 * 4 + x * 4) + -9 6 + -2x = (8 + 4x) + -9 Reorder the terms: 6 + -2x = 8 + -9 + 4x Combine like terms: 8 + -9 = -1 6 + -2x = -1 + 4x Solving 6 + -2x = -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. 6 + -2x + -4x = -1 + 4x + -4x Combine like terms: -2x + -4x = -6x 6 + -6x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + -6x = -1 + 0 6 + -6x = -1 Add '-6' to each side of the equation. 6 + -6 + -6x = -1 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = -1 + -6 -6x = -1 + -6 Combine like terms: -1 + -6 = -7 -6x = -7 Divide each side by '-6'. x = 1.166666667 Simplifying x = 1.166666667
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