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Simplifying 5x + 3 = -2 + 3(x + -1) Reorder the terms: 3 + 5x = -2 + 3(x + -1) Reorder the terms: 3 + 5x = -2 + 3(-1 + x) 3 + 5x = -2 + (-1 * 3 + x * 3) 3 + 5x = -2 + (-3 + 3x) Combine like terms: -2 + -3 = -5 3 + 5x = -5 + 3x Solving 3 + 5x = -5 + 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. 3 + 5x + -3x = -5 + 3x + -3x Combine like terms: 5x + -3x = 2x 3 + 2x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + 2x = -5 + 0 3 + 2x = -5 Add '-3' to each side of the equation. 3 + -3 + 2x = -5 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = -5 + -3 2x = -5 + -3 Combine like terms: -5 + -3 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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