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Simplifying 4(-2x + 4) = -10(x + -6) Reorder the terms: 4(4 + -2x) = -10(x + -6) (4 * 4 + -2x * 4) = -10(x + -6) (16 + -8x) = -10(x + -6) Reorder the terms: 16 + -8x = -10(-6 + x) 16 + -8x = (-6 * -10 + x * -10) 16 + -8x = (60 + -10x) Solving 16 + -8x = 60 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 16 + -8x + 10x = 60 + -10x + 10x Combine like terms: -8x + 10x = 2x 16 + 2x = 60 + -10x + 10x Combine like terms: -10x + 10x = 0 16 + 2x = 60 + 0 16 + 2x = 60 Add '-16' to each side of the equation. 16 + -16 + 2x = 60 + -16 Combine like terms: 16 + -16 = 0 0 + 2x = 60 + -16 2x = 60 + -16 Combine like terms: 60 + -16 = 44 2x = 44 Divide each side by '2'. x = 22 Simplifying x = 22
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