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Simplifying 5(x + 3) + -2 = 2 + -1x + 9 Reorder the terms: 5(3 + x) + -2 = 2 + -1x + 9 (3 * 5 + x * 5) + -2 = 2 + -1x + 9 (15 + 5x) + -2 = 2 + -1x + 9 Reorder the terms: 15 + -2 + 5x = 2 + -1x + 9 Combine like terms: 15 + -2 = 13 13 + 5x = 2 + -1x + 9 Reorder the terms: 13 + 5x = 2 + 9 + -1x Combine like terms: 2 + 9 = 11 13 + 5x = 11 + -1x Solving 13 + 5x = 11 + -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. 13 + 5x + x = 11 + -1x + x Combine like terms: 5x + x = 6x 13 + 6x = 11 + -1x + x Combine like terms: -1x + x = 0 13 + 6x = 11 + 0 13 + 6x = 11 Add '-13' to each side of the equation. 13 + -13 + 6x = 11 + -13 Combine like terms: 13 + -13 = 0 0 + 6x = 11 + -13 6x = 11 + -13 Combine like terms: 11 + -13 = -2 6x = -2 Divide each side by '6'. x = -0.3333333333 Simplifying x = -0.3333333333
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