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Simplifying 10(-2x + 6) = -3(8x + 8) Reorder the terms: 10(6 + -2x) = -3(8x + 8) (6 * 10 + -2x * 10) = -3(8x + 8) (60 + -20x) = -3(8x + 8) Reorder the terms: 60 + -20x = -3(8 + 8x) 60 + -20x = (8 * -3 + 8x * -3) 60 + -20x = (-24 + -24x) Solving 60 + -20x = -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. 60 + -20x + 24x = -24 + -24x + 24x Combine like terms: -20x + 24x = 4x 60 + 4x = -24 + -24x + 24x Combine like terms: -24x + 24x = 0 60 + 4x = -24 + 0 60 + 4x = -24 Add '-60' to each side of the equation. 60 + -60 + 4x = -24 + -60 Combine like terms: 60 + -60 = 0 0 + 4x = -24 + -60 4x = -24 + -60 Combine like terms: -24 + -60 = -84 4x = -84 Divide each side by '4'. x = -21 Simplifying x = -21
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