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Simplifying 8(x + -6) = 5(x + -6) Reorder the terms: 8(-6 + x) = 5(x + -6) (-6 * 8 + x * 8) = 5(x + -6) (-48 + 8x) = 5(x + -6) Reorder the terms: -48 + 8x = 5(-6 + x) -48 + 8x = (-6 * 5 + x * 5) -48 + 8x = (-30 + 5x) Solving -48 + 8x = -30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -48 + 8x + -5x = -30 + 5x + -5x Combine like terms: 8x + -5x = 3x -48 + 3x = -30 + 5x + -5x Combine like terms: 5x + -5x = 0 -48 + 3x = -30 + 0 -48 + 3x = -30 Add '48' to each side of the equation. -48 + 48 + 3x = -30 + 48 Combine like terms: -48 + 48 = 0 0 + 3x = -30 + 48 3x = -30 + 48 Combine like terms: -30 + 48 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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