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Simplifying -10x + 18 = -3(5x + -7) + -8 Reorder the terms: 18 + -10x = -3(5x + -7) + -8 Reorder the terms: 18 + -10x = -3(-7 + 5x) + -8 18 + -10x = (-7 * -3 + 5x * -3) + -8 18 + -10x = (21 + -15x) + -8 Reorder the terms: 18 + -10x = 21 + -8 + -15x Combine like terms: 21 + -8 = 13 18 + -10x = 13 + -15x Solving 18 + -10x = 13 + -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. 18 + -10x + 15x = 13 + -15x + 15x Combine like terms: -10x + 15x = 5x 18 + 5x = 13 + -15x + 15x Combine like terms: -15x + 15x = 0 18 + 5x = 13 + 0 18 + 5x = 13 Add '-18' to each side of the equation. 18 + -18 + 5x = 13 + -18 Combine like terms: 18 + -18 = 0 0 + 5x = 13 + -18 5x = 13 + -18 Combine like terms: 13 + -18 = -5 5x = -5 Divide each side by '5'. x = -1 Simplifying x = -1
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