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Simplifying 8(x + -6) + 18 = 5(x + -3) Reorder the terms: 8(-6 + x) + 18 = 5(x + -3) (-6 * 8 + x * 8) + 18 = 5(x + -3) (-48 + 8x) + 18 = 5(x + -3) Reorder the terms: -48 + 18 + 8x = 5(x + -3) Combine like terms: -48 + 18 = -30 -30 + 8x = 5(x + -3) Reorder the terms: -30 + 8x = 5(-3 + x) -30 + 8x = (-3 * 5 + x * 5) -30 + 8x = (-15 + 5x) Solving -30 + 8x = -15 + 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. -30 + 8x + -5x = -15 + 5x + -5x Combine like terms: 8x + -5x = 3x -30 + 3x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 -30 + 3x = -15 + 0 -30 + 3x = -15 Add '30' to each side of the equation. -30 + 30 + 3x = -15 + 30 Combine like terms: -30 + 30 = 0 0 + 3x = -15 + 30 3x = -15 + 30 Combine like terms: -15 + 30 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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