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Simplifying 42 + -14x = -5(6x + 2) + -5(-8 + -3x) Reorder the terms: 42 + -14x = -5(2 + 6x) + -5(-8 + -3x) 42 + -14x = (2 * -5 + 6x * -5) + -5(-8 + -3x) 42 + -14x = (-10 + -30x) + -5(-8 + -3x) 42 + -14x = -10 + -30x + (-8 * -5 + -3x * -5) 42 + -14x = -10 + -30x + (40 + 15x) Reorder the terms: 42 + -14x = -10 + 40 + -30x + 15x Combine like terms: -10 + 40 = 30 42 + -14x = 30 + -30x + 15x Combine like terms: -30x + 15x = -15x 42 + -14x = 30 + -15x Solving 42 + -14x = 30 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 42 + -14x + 15x = 30 + -15x + 15x Combine like terms: -14x + 15x = 1x 42 + 1x = 30 + -15x + 15x Combine like terms: -15x + 15x = 0 42 + 1x = 30 + 0 42 + 1x = 30 Add '-42' to each side of the equation. 42 + -42 + 1x = 30 + -42 Combine like terms: 42 + -42 = 0 0 + 1x = 30 + -42 1x = 30 + -42 Combine like terms: 30 + -42 = -12 1x = -12 Divide each side by '1'. x = -12 Simplifying x = -12
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