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Simplifying -5(2x + -3) = -8x + 1 Reorder the terms: -5(-3 + 2x) = -8x + 1 (-3 * -5 + 2x * -5) = -8x + 1 (15 + -10x) = -8x + 1 Reorder the terms: 15 + -10x = 1 + -8x Solving 15 + -10x = 1 + -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. 15 + -10x + 8x = 1 + -8x + 8x Combine like terms: -10x + 8x = -2x 15 + -2x = 1 + -8x + 8x Combine like terms: -8x + 8x = 0 15 + -2x = 1 + 0 15 + -2x = 1 Add '-15' to each side of the equation. 15 + -15 + -2x = 1 + -15 Combine like terms: 15 + -15 = 0 0 + -2x = 1 + -15 -2x = 1 + -15 Combine like terms: 1 + -15 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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