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Simplifying -2(x + -2) + -4x = 3(x + -4) + 20 Reorder the terms: -2(-2 + x) + -4x = 3(x + -4) + 20 (-2 * -2 + x * -2) + -4x = 3(x + -4) + 20 (4 + -2x) + -4x = 3(x + -4) + 20 Combine like terms: -2x + -4x = -6x 4 + -6x = 3(x + -4) + 20 Reorder the terms: 4 + -6x = 3(-4 + x) + 20 4 + -6x = (-4 * 3 + x * 3) + 20 4 + -6x = (-12 + 3x) + 20 Reorder the terms: 4 + -6x = -12 + 20 + 3x Combine like terms: -12 + 20 = 8 4 + -6x = 8 + 3x Solving 4 + -6x = 8 + 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 = 8 + 3x + -3x Combine like terms: -6x + -3x = -9x 4 + -9x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + -9x = 8 + 0 4 + -9x = 8 Add '-4' to each side of the equation. 4 + -4 + -9x = 8 + -4 Combine like terms: 4 + -4 = 0 0 + -9x = 8 + -4 -9x = 8 + -4 Combine like terms: 8 + -4 = 4 -9x = 4 Divide each side by '-9'. x = -0.4444444444 Simplifying x = -0.4444444444
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