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Simplifying 5(x + -3) = 8(x + 6) Reorder the terms: 5(-3 + x) = 8(x + 6) (-3 * 5 + x * 5) = 8(x + 6) (-15 + 5x) = 8(x + 6) Reorder the terms: -15 + 5x = 8(6 + x) -15 + 5x = (6 * 8 + x * 8) -15 + 5x = (48 + 8x) Solving -15 + 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. -15 + 5x + -8x = 48 + 8x + -8x Combine like terms: 5x + -8x = -3x -15 + -3x = 48 + 8x + -8x Combine like terms: 8x + -8x = 0 -15 + -3x = 48 + 0 -15 + -3x = 48 Add '15' to each side of the equation. -15 + 15 + -3x = 48 + 15 Combine like terms: -15 + 15 = 0 0 + -3x = 48 + 15 -3x = 48 + 15 Combine like terms: 48 + 15 = 63 -3x = 63 Divide each side by '-3'. x = -21 Simplifying x = -21
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