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Simplifying 5(6 + -2x) = -2(9x + -1) (6 * 5 + -2x * 5) = -2(9x + -1) (30 + -10x) = -2(9x + -1) Reorder the terms: 30 + -10x = -2(-1 + 9x) 30 + -10x = (-1 * -2 + 9x * -2) 30 + -10x = (2 + -18x) Solving 30 + -10x = 2 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 30 + -10x + 18x = 2 + -18x + 18x Combine like terms: -10x + 18x = 8x 30 + 8x = 2 + -18x + 18x Combine like terms: -18x + 18x = 0 30 + 8x = 2 + 0 30 + 8x = 2 Add '-30' to each side of the equation. 30 + -30 + 8x = 2 + -30 Combine like terms: 30 + -30 = 0 0 + 8x = 2 + -30 8x = 2 + -30 Combine like terms: 2 + -30 = -28 8x = -28 Divide each side by '8'. x = -3.5 Simplifying x = -3.5
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