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Simplifying 8 + -40(x + -1) = -2 + -30x Reorder the terms: 8 + -40(-1 + x) = -2 + -30x 8 + (-1 * -40 + x * -40) = -2 + -30x 8 + (40 + -40x) = -2 + -30x Combine like terms: 8 + 40 = 48 48 + -40x = -2 + -30x Solving 48 + -40x = -2 + -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. 48 + -40x + 30x = -2 + -30x + 30x Combine like terms: -40x + 30x = -10x 48 + -10x = -2 + -30x + 30x Combine like terms: -30x + 30x = 0 48 + -10x = -2 + 0 48 + -10x = -2 Add '-48' to each side of the equation. 48 + -48 + -10x = -2 + -48 Combine like terms: 48 + -48 = 0 0 + -10x = -2 + -48 -10x = -2 + -48 Combine like terms: -2 + -48 = -50 -10x = -50 Divide each side by '-10'. x = 5 Simplifying x = 5
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