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Simplifying 17(x + -56) = 10(x + -63) Reorder the terms: 17(-56 + x) = 10(x + -63) (-56 * 17 + x * 17) = 10(x + -63) (-952 + 17x) = 10(x + -63) Reorder the terms: -952 + 17x = 10(-63 + x) -952 + 17x = (-63 * 10 + x * 10) -952 + 17x = (-630 + 10x) Solving -952 + 17x = -630 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -952 + 17x + -10x = -630 + 10x + -10x Combine like terms: 17x + -10x = 7x -952 + 7x = -630 + 10x + -10x Combine like terms: 10x + -10x = 0 -952 + 7x = -630 + 0 -952 + 7x = -630 Add '952' to each side of the equation. -952 + 952 + 7x = -630 + 952 Combine like terms: -952 + 952 = 0 0 + 7x = -630 + 952 7x = -630 + 952 Combine like terms: -630 + 952 = 322 7x = 322 Divide each side by '7'. x = 46 Simplifying x = 46
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