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Simplifying x + 3(x + 5) = 12 + 8x + 15 Reorder the terms: x + 3(5 + x) = 12 + 8x + 15 x + (5 * 3 + x * 3) = 12 + 8x + 15 x + (15 + 3x) = 12 + 8x + 15 Reorder the terms: 15 + x + 3x = 12 + 8x + 15 Combine like terms: x + 3x = 4x 15 + 4x = 12 + 8x + 15 Reorder the terms: 15 + 4x = 12 + 15 + 8x Combine like terms: 12 + 15 = 27 15 + 4x = 27 + 8x Solving 15 + 4x = 27 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 15 + 4x + -8x = 27 + 8x + -8x Combine like terms: 4x + -8x = -4x 15 + -4x = 27 + 8x + -8x Combine like terms: 8x + -8x = 0 15 + -4x = 27 + 0 15 + -4x = 27 Add '-15' to each side of the equation. 15 + -15 + -4x = 27 + -15 Combine like terms: 15 + -15 = 0 0 + -4x = 27 + -15 -4x = 27 + -15 Combine like terms: 27 + -15 = 12 -4x = 12 Divide each side by '-4'. x = -3 Simplifying x = -3
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