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Simplifying 3(x + 5) = 8x + 14 + -3(2x + -1) Reorder the terms: 3(5 + x) = 8x + 14 + -3(2x + -1) (5 * 3 + x * 3) = 8x + 14 + -3(2x + -1) (15 + 3x) = 8x + 14 + -3(2x + -1) Reorder the terms: 15 + 3x = 8x + 14 + -3(-1 + 2x) 15 + 3x = 8x + 14 + (-1 * -3 + 2x * -3) 15 + 3x = 8x + 14 + (3 + -6x) Reorder the terms: 15 + 3x = 14 + 3 + 8x + -6x Combine like terms: 14 + 3 = 17 15 + 3x = 17 + 8x + -6x Combine like terms: 8x + -6x = 2x 15 + 3x = 17 + 2x Solving 15 + 3x = 17 + 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 + 3x + -2x = 17 + 2x + -2x Combine like terms: 3x + -2x = 1x 15 + 1x = 17 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + 1x = 17 + 0 15 + 1x = 17 Add '-15' to each side of the equation. 15 + -15 + 1x = 17 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = 17 + -15 1x = 17 + -15 Combine like terms: 17 + -15 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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