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Simplifying 5x + (3 + 2x) = 18 + -1(x + -1) Remove parenthesis around (3 + 2x) 5x + 3 + 2x = 18 + -1(x + -1) Reorder the terms: 3 + 5x + 2x = 18 + -1(x + -1) Combine like terms: 5x + 2x = 7x 3 + 7x = 18 + -1(x + -1) Reorder the terms: 3 + 7x = 18 + -1(-1 + x) 3 + 7x = 18 + (-1 * -1 + x * -1) 3 + 7x = 18 + (1 + -1x) Combine like terms: 18 + 1 = 19 3 + 7x = 19 + -1x Solving 3 + 7x = 19 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 3 + 7x + x = 19 + -1x + x Combine like terms: 7x + x = 8x 3 + 8x = 19 + -1x + x Combine like terms: -1x + x = 0 3 + 8x = 19 + 0 3 + 8x = 19 Add '-3' to each side of the equation. 3 + -3 + 8x = 19 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = 19 + -3 8x = 19 + -3 Combine like terms: 19 + -3 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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