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Simplifying -2(x + 10) = 3(-8x + 8) Reorder the terms: -2(10 + x) = 3(-8x + 8) (10 * -2 + x * -2) = 3(-8x + 8) (-20 + -2x) = 3(-8x + 8) Reorder the terms: -20 + -2x = 3(8 + -8x) -20 + -2x = (8 * 3 + -8x * 3) -20 + -2x = (24 + -24x) Solving -20 + -2x = 24 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -20 + -2x + 24x = 24 + -24x + 24x Combine like terms: -2x + 24x = 22x -20 + 22x = 24 + -24x + 24x Combine like terms: -24x + 24x = 0 -20 + 22x = 24 + 0 -20 + 22x = 24 Add '20' to each side of the equation. -20 + 20 + 22x = 24 + 20 Combine like terms: -20 + 20 = 0 0 + 22x = 24 + 20 22x = 24 + 20 Combine like terms: 24 + 20 = 44 22x = 44 Divide each side by '22'. x = 2 Simplifying x = 2
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