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Simplifying 5x + -1(1x + -18) = 6 + -2(1x + 15) Reorder the terms: 5x + -1(-18 + 1x) = 6 + -2(1x + 15) 5x + (-18 * -1 + 1x * -1) = 6 + -2(1x + 15) 5x + (18 + -1x) = 6 + -2(1x + 15) Reorder the terms: 18 + 5x + -1x = 6 + -2(1x + 15) Combine like terms: 5x + -1x = 4x 18 + 4x = 6 + -2(1x + 15) Reorder the terms: 18 + 4x = 6 + -2(15 + 1x) 18 + 4x = 6 + (15 * -2 + 1x * -2) 18 + 4x = 6 + (-30 + -2x) Combine like terms: 6 + -30 = -24 18 + 4x = -24 + -2x Solving 18 + 4x = -24 + -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. 18 + 4x + 2x = -24 + -2x + 2x Combine like terms: 4x + 2x = 6x 18 + 6x = -24 + -2x + 2x Combine like terms: -2x + 2x = 0 18 + 6x = -24 + 0 18 + 6x = -24 Add '-18' to each side of the equation. 18 + -18 + 6x = -24 + -18 Combine like terms: 18 + -18 = 0 0 + 6x = -24 + -18 6x = -24 + -18 Combine like terms: -24 + -18 = -42 6x = -42 Divide each side by '6'. x = -7 Simplifying x = -7
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