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Simplifying 5(x + -6) = 2(3x + 8) Reorder the terms: 5(-6 + x) = 2(3x + 8) (-6 * 5 + x * 5) = 2(3x + 8) (-30 + 5x) = 2(3x + 8) Reorder the terms: -30 + 5x = 2(8 + 3x) -30 + 5x = (8 * 2 + 3x * 2) -30 + 5x = (16 + 6x) Solving -30 + 5x = 16 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -30 + 5x + -6x = 16 + 6x + -6x Combine like terms: 5x + -6x = -1x -30 + -1x = 16 + 6x + -6x Combine like terms: 6x + -6x = 0 -30 + -1x = 16 + 0 -30 + -1x = 16 Add '30' to each side of the equation. -30 + 30 + -1x = 16 + 30 Combine like terms: -30 + 30 = 0 0 + -1x = 16 + 30 -1x = 16 + 30 Combine like terms: 16 + 30 = 46 -1x = 46 Divide each side by '-1'. x = -46 Simplifying x = -46
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