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Simplifying 5(x + 3) + 3x = 2(x + -2) Reorder the terms: 5(3 + x) + 3x = 2(x + -2) (3 * 5 + x * 5) + 3x = 2(x + -2) (15 + 5x) + 3x = 2(x + -2) Combine like terms: 5x + 3x = 8x 15 + 8x = 2(x + -2) Reorder the terms: 15 + 8x = 2(-2 + x) 15 + 8x = (-2 * 2 + x * 2) 15 + 8x = (-4 + 2x) Solving 15 + 8x = -4 + 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. 15 + 8x + -2x = -4 + 2x + -2x Combine like terms: 8x + -2x = 6x 15 + 6x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + 6x = -4 + 0 15 + 6x = -4 Add '-15' to each side of the equation. 15 + -15 + 6x = -4 + -15 Combine like terms: 15 + -15 = 0 0 + 6x = -4 + -15 6x = -4 + -15 Combine like terms: -4 + -15 = -19 6x = -19 Divide each side by '6'. x = -3.166666667 Simplifying x = -3.166666667
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