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Simplifying x + -4(x + -2) = 2(x + -3) Reorder the terms: x + -4(-2 + x) = 2(x + -3) x + (-2 * -4 + x * -4) = 2(x + -3) x + (8 + -4x) = 2(x + -3) Reorder the terms: 8 + x + -4x = 2(x + -3) Combine like terms: x + -4x = -3x 8 + -3x = 2(x + -3) Reorder the terms: 8 + -3x = 2(-3 + x) 8 + -3x = (-3 * 2 + x * 2) 8 + -3x = (-6 + 2x) Solving 8 + -3x = -6 + 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. 8 + -3x + -2x = -6 + 2x + -2x Combine like terms: -3x + -2x = -5x 8 + -5x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + -5x = -6 + 0 8 + -5x = -6 Add '-8' to each side of the equation. 8 + -8 + -5x = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = -6 + -8 -5x = -6 + -8 Combine like terms: -6 + -8 = -14 -5x = -14 Divide each side by '-5'. x = 2.8 Simplifying x = 2.8
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