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Simplifying -2(x + -2) + -4x = 3(x + 1) + -9 Reorder the terms: -2(-2 + x) + -4x = 3(x + 1) + -9 (-2 * -2 + x * -2) + -4x = 3(x + 1) + -9 (4 + -2x) + -4x = 3(x + 1) + -9 Combine like terms: -2x + -4x = -6x 4 + -6x = 3(x + 1) + -9 Reorder the terms: 4 + -6x = 3(1 + x) + -9 4 + -6x = (1 * 3 + x * 3) + -9 4 + -6x = (3 + 3x) + -9 Reorder the terms: 4 + -6x = 3 + -9 + 3x Combine like terms: 3 + -9 = -6 4 + -6x = -6 + 3x Solving 4 + -6x = -6 + 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. 4 + -6x + -3x = -6 + 3x + -3x Combine like terms: -6x + -3x = -9x 4 + -9x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + -9x = -6 + 0 4 + -9x = -6 Add '-4' to each side of the equation. 4 + -4 + -9x = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -9x = -6 + -4 -9x = -6 + -4 Combine like terms: -6 + -4 = -10 -9x = -10 Divide each side by '-9'. x = 1.111111111 Simplifying x = 1.111111111
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