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Simplifying 2(x + 3) + 3(x + -5) = 8(x + -6) Reorder the terms: 2(3 + x) + 3(x + -5) = 8(x + -6) (3 * 2 + x * 2) + 3(x + -5) = 8(x + -6) (6 + 2x) + 3(x + -5) = 8(x + -6) Reorder the terms: 6 + 2x + 3(-5 + x) = 8(x + -6) 6 + 2x + (-5 * 3 + x * 3) = 8(x + -6) 6 + 2x + (-15 + 3x) = 8(x + -6) Reorder the terms: 6 + -15 + 2x + 3x = 8(x + -6) Combine like terms: 6 + -15 = -9 -9 + 2x + 3x = 8(x + -6) Combine like terms: 2x + 3x = 5x -9 + 5x = 8(x + -6) Reorder the terms: -9 + 5x = 8(-6 + x) -9 + 5x = (-6 * 8 + x * 8) -9 + 5x = (-48 + 8x) Solving -9 + 5x = -48 + 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. -9 + 5x + -8x = -48 + 8x + -8x Combine like terms: 5x + -8x = -3x -9 + -3x = -48 + 8x + -8x Combine like terms: 8x + -8x = 0 -9 + -3x = -48 + 0 -9 + -3x = -48 Add '9' to each side of the equation. -9 + 9 + -3x = -48 + 9 Combine like terms: -9 + 9 = 0 0 + -3x = -48 + 9 -3x = -48 + 9 Combine like terms: -48 + 9 = -39 -3x = -39 Divide each side by '-3'. x = 13 Simplifying x = 13
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