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Simplifying -5(2x + -7) = 2(x + -31) + -47 Reorder the terms: -5(-7 + 2x) = 2(x + -31) + -47 (-7 * -5 + 2x * -5) = 2(x + -31) + -47 (35 + -10x) = 2(x + -31) + -47 Reorder the terms: 35 + -10x = 2(-31 + x) + -47 35 + -10x = (-31 * 2 + x * 2) + -47 35 + -10x = (-62 + 2x) + -47 Reorder the terms: 35 + -10x = -62 + -47 + 2x Combine like terms: -62 + -47 = -109 35 + -10x = -109 + 2x Solving 35 + -10x = -109 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 35 + -10x + -2x = -109 + 2x + -2x Combine like terms: -10x + -2x = -12x 35 + -12x = -109 + 2x + -2x Combine like terms: 2x + -2x = 0 35 + -12x = -109 + 0 35 + -12x = -109 Add '-35' to each side of the equation. 35 + -35 + -12x = -109 + -35 Combine like terms: 35 + -35 = 0 0 + -12x = -109 + -35 -12x = -109 + -35 Combine like terms: -109 + -35 = -144 -12x = -144 Divide each side by '-12'. x = 12 Simplifying x = 12
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