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Simplifying 5x + (3 + 2s) = 18 + -1(x + -1) Remove parenthesis around (3 + 2s) 5x + 3 + 2s = 18 + -1(x + -1) Reorder the terms: 3 + 2s + 5x = 18 + -1(x + -1) Reorder the terms: 3 + 2s + 5x = 18 + -1(-1 + x) 3 + 2s + 5x = 18 + (-1 * -1 + x * -1) 3 + 2s + 5x = 18 + (1 + -1x) Combine like terms: 18 + 1 = 19 3 + 2s + 5x = 19 + -1x Solving 3 + 2s + 5x = 19 + -1x Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 2s + -3 + 5x = 19 + -3 + -1x Reorder the terms: 3 + -3 + 2s + 5x = 19 + -3 + -1x Combine like terms: 3 + -3 = 0 0 + 2s + 5x = 19 + -3 + -1x 2s + 5x = 19 + -3 + -1x Combine like terms: 19 + -3 = 16 2s + 5x = 16 + -1x Add '-5x' to each side of the equation. 2s + 5x + -5x = 16 + -1x + -5x Combine like terms: 5x + -5x = 0 2s + 0 = 16 + -1x + -5x 2s = 16 + -1x + -5x Combine like terms: -1x + -5x = -6x 2s = 16 + -6x Divide each side by '2'. s = 8 + -3x Simplifying s = 8 + -3x
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