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Simplifying 3(5 + -1x) + 42 = -5(6x + -8) (5 * 3 + -1x * 3) + 42 = -5(6x + -8) (15 + -3x) + 42 = -5(6x + -8) Reorder the terms: 15 + 42 + -3x = -5(6x + -8) Combine like terms: 15 + 42 = 57 57 + -3x = -5(6x + -8) Reorder the terms: 57 + -3x = -5(-8 + 6x) 57 + -3x = (-8 * -5 + 6x * -5) 57 + -3x = (40 + -30x) Solving 57 + -3x = 40 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. 57 + -3x + 30x = 40 + -30x + 30x Combine like terms: -3x + 30x = 27x 57 + 27x = 40 + -30x + 30x Combine like terms: -30x + 30x = 0 57 + 27x = 40 + 0 57 + 27x = 40 Add '-57' to each side of the equation. 57 + -57 + 27x = 40 + -57 Combine like terms: 57 + -57 = 0 0 + 27x = 40 + -57 27x = 40 + -57 Combine like terms: 40 + -57 = -17 27x = -17 Divide each side by '27'. x = -0.6296296296 Simplifying x = -0.6296296296
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