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Simplifying 3(x + 5) = 4(x + 8) + -6 Reorder the terms: 3(5 + x) = 4(x + 8) + -6 (5 * 3 + x * 3) = 4(x + 8) + -6 (15 + 3x) = 4(x + 8) + -6 Reorder the terms: 15 + 3x = 4(8 + x) + -6 15 + 3x = (8 * 4 + x * 4) + -6 15 + 3x = (32 + 4x) + -6 Reorder the terms: 15 + 3x = 32 + -6 + 4x Combine like terms: 32 + -6 = 26 15 + 3x = 26 + 4x Solving 15 + 3x = 26 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 15 + 3x + -4x = 26 + 4x + -4x Combine like terms: 3x + -4x = -1x 15 + -1x = 26 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + -1x = 26 + 0 15 + -1x = 26 Add '-15' to each side of the equation. 15 + -15 + -1x = 26 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 26 + -15 -1x = 26 + -15 Combine like terms: 26 + -15 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11
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