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Simplifying 2(5 + -3x) = -7x + 8 (5 * 2 + -3x * 2) = -7x + 8 (10 + -6x) = -7x + 8 Reorder the terms: 10 + -6x = 8 + -7x Solving 10 + -6x = 8 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 10 + -6x + 7x = 8 + -7x + 7x Combine like terms: -6x + 7x = 1x 10 + 1x = 8 + -7x + 7x Combine like terms: -7x + 7x = 0 10 + 1x = 8 + 0 10 + 1x = 8 Add '-10' to each side of the equation. 10 + -10 + 1x = 8 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 8 + -10 1x = 8 + -10 Combine like terms: 8 + -10 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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