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Simplifying -2(x + -5) + 4 = 4(2x + -4) Reorder the terms: -2(-5 + x) + 4 = 4(2x + -4) (-5 * -2 + x * -2) + 4 = 4(2x + -4) (10 + -2x) + 4 = 4(2x + -4) Reorder the terms: 10 + 4 + -2x = 4(2x + -4) Combine like terms: 10 + 4 = 14 14 + -2x = 4(2x + -4) Reorder the terms: 14 + -2x = 4(-4 + 2x) 14 + -2x = (-4 * 4 + 2x * 4) 14 + -2x = (-16 + 8x) Solving 14 + -2x = -16 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 14 + -2x + -8x = -16 + 8x + -8x Combine like terms: -2x + -8x = -10x 14 + -10x = -16 + 8x + -8x Combine like terms: 8x + -8x = 0 14 + -10x = -16 + 0 14 + -10x = -16 Add '-14' to each side of the equation. 14 + -14 + -10x = -16 + -14 Combine like terms: 14 + -14 = 0 0 + -10x = -16 + -14 -10x = -16 + -14 Combine like terms: -16 + -14 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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