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Simplifying 5(7 + -1x) = 3x + -253 (7 * 5 + -1x * 5) = 3x + -253 (35 + -5x) = 3x + -253 Reorder the terms: 35 + -5x = -253 + 3x Solving 35 + -5x = -253 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 35 + -5x + -3x = -253 + 3x + -3x Combine like terms: -5x + -3x = -8x 35 + -8x = -253 + 3x + -3x Combine like terms: 3x + -3x = 0 35 + -8x = -253 + 0 35 + -8x = -253 Add '-35' to each side of the equation. 35 + -35 + -8x = -253 + -35 Combine like terms: 35 + -35 = 0 0 + -8x = -253 + -35 -8x = -253 + -35 Combine like terms: -253 + -35 = -288 -8x = -288 Divide each side by '-8'. x = 36 Simplifying x = 36
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