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Simplifying 5(x + -6) = 2(x + -38) Reorder the terms: 5(-6 + x) = 2(x + -38) (-6 * 5 + x * 5) = 2(x + -38) (-30 + 5x) = 2(x + -38) Reorder the terms: -30 + 5x = 2(-38 + x) -30 + 5x = (-38 * 2 + x * 2) -30 + 5x = (-76 + 2x) Solving -30 + 5x = -76 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -30 + 5x + -2x = -76 + 2x + -2x Combine like terms: 5x + -2x = 3x -30 + 3x = -76 + 2x + -2x Combine like terms: 2x + -2x = 0 -30 + 3x = -76 + 0 -30 + 3x = -76 Add '30' to each side of the equation. -30 + 30 + 3x = -76 + 30 Combine like terms: -30 + 30 = 0 0 + 3x = -76 + 30 3x = -76 + 30 Combine like terms: -76 + 30 = -46 3x = -46 Divide each side by '3'. x = -15.33333333 Simplifying x = -15.33333333
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