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