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