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Simplifying 5(x + 6) = 8(x + -3) Reorder the terms: 5(6 + x) = 8(x + -3) (6 * 5 + x * 5) = 8(x + -3) (30 + 5x) = 8(x + -3) Reorder the terms: 30 + 5x = 8(-3 + x) 30 + 5x = (-3 * 8 + x * 8) 30 + 5x = (-24 + 8x) Solving 30 + 5x = -24 + 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. 30 + 5x + -8x = -24 + 8x + -8x Combine like terms: 5x + -8x = -3x 30 + -3x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 30 + -3x = -24 + 0 30 + -3x = -24 Add '-30' to each side of the equation. 30 + -30 + -3x = -24 + -30 Combine like terms: 30 + -30 = 0 0 + -3x = -24 + -30 -3x = -24 + -30 Combine like terms: -24 + -30 = -54 -3x = -54 Divide each side by '-3'. x = 18 Simplifying x = 18
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