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Simplifying 5(x + 3) + -3 = 2(x + 8) Reorder the terms: 5(3 + x) + -3 = 2(x + 8) (3 * 5 + x * 5) + -3 = 2(x + 8) (15 + 5x) + -3 = 2(x + 8) Reorder the terms: 15 + -3 + 5x = 2(x + 8) Combine like terms: 15 + -3 = 12 12 + 5x = 2(x + 8) Reorder the terms: 12 + 5x = 2(8 + x) 12 + 5x = (8 * 2 + x * 2) 12 + 5x = (16 + 2x) Solving 12 + 5x = 16 + 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. 12 + 5x + -2x = 16 + 2x + -2x Combine like terms: 5x + -2x = 3x 12 + 3x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 3x = 16 + 0 12 + 3x = 16 Add '-12' to each side of the equation. 12 + -12 + 3x = 16 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = 16 + -12 3x = 16 + -12 Combine like terms: 16 + -12 = 4 3x = 4 Divide each side by '3'. x = 1.333333333 Simplifying x = 1.333333333
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