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Simplifying 7 + -2(x + 3) = 18 + -3(x + -7) Reorder the terms: 7 + -2(3 + x) = 18 + -3(x + -7) 7 + (3 * -2 + x * -2) = 18 + -3(x + -7) 7 + (-6 + -2x) = 18 + -3(x + -7) Combine like terms: 7 + -6 = 1 1 + -2x = 18 + -3(x + -7) Reorder the terms: 1 + -2x = 18 + -3(-7 + x) 1 + -2x = 18 + (-7 * -3 + x * -3) 1 + -2x = 18 + (21 + -3x) Combine like terms: 18 + 21 = 39 1 + -2x = 39 + -3x Solving 1 + -2x = 39 + -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. 1 + -2x + 3x = 39 + -3x + 3x Combine like terms: -2x + 3x = 1x 1 + 1x = 39 + -3x + 3x Combine like terms: -3x + 3x = 0 1 + 1x = 39 + 0 1 + 1x = 39 Add '-1' to each side of the equation. 1 + -1 + 1x = 39 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 39 + -1 1x = 39 + -1 Combine like terms: 39 + -1 = 38 1x = 38 Divide each side by '1'. x = 38 Simplifying x = 38
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