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Simplifying 5(x + 3) + -2 = 5 + -3(1 + -1x) Reorder the terms: 5(3 + x) + -2 = 5 + -3(1 + -1x) (3 * 5 + x * 5) + -2 = 5 + -3(1 + -1x) (15 + 5x) + -2 = 5 + -3(1 + -1x) Reorder the terms: 15 + -2 + 5x = 5 + -3(1 + -1x) Combine like terms: 15 + -2 = 13 13 + 5x = 5 + -3(1 + -1x) 13 + 5x = 5 + (1 * -3 + -1x * -3) 13 + 5x = 5 + (-3 + 3x) Combine like terms: 5 + -3 = 2 13 + 5x = 2 + 3x Solving 13 + 5x = 2 + 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. 13 + 5x + -3x = 2 + 3x + -3x Combine like terms: 5x + -3x = 2x 13 + 2x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 13 + 2x = 2 + 0 13 + 2x = 2 Add '-13' to each side of the equation. 13 + -13 + 2x = 2 + -13 Combine like terms: 13 + -13 = 0 0 + 2x = 2 + -13 2x = 2 + -13 Combine like terms: 2 + -13 = -11 2x = -11 Divide each side by '2'. x = -5.5 Simplifying x = -5.5
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