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Simplifying 7(x + 5) = 10x + -18 Reorder the terms: 7(5 + x) = 10x + -18 (5 * 7 + x * 7) = 10x + -18 (35 + 7x) = 10x + -18 Reorder the terms: 35 + 7x = -18 + 10x Solving 35 + 7x = -18 + 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. 35 + 7x + -10x = -18 + 10x + -10x Combine like terms: 7x + -10x = -3x 35 + -3x = -18 + 10x + -10x Combine like terms: 10x + -10x = 0 35 + -3x = -18 + 0 35 + -3x = -18 Add '-35' to each side of the equation. 35 + -35 + -3x = -18 + -35 Combine like terms: 35 + -35 = 0 0 + -3x = -18 + -35 -3x = -18 + -35 Combine like terms: -18 + -35 = -53 -3x = -53 Divide each side by '-3'. x = 17.66666667 Simplifying x = 17.66666667
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