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Simplifying 10x + -8 = 3(5x + -6) Reorder the terms: -8 + 10x = 3(5x + -6) Reorder the terms: -8 + 10x = 3(-6 + 5x) -8 + 10x = (-6 * 3 + 5x * 3) -8 + 10x = (-18 + 15x) Solving -8 + 10x = -18 + 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. -8 + 10x + -15x = -18 + 15x + -15x Combine like terms: 10x + -15x = -5x -8 + -5x = -18 + 15x + -15x Combine like terms: 15x + -15x = 0 -8 + -5x = -18 + 0 -8 + -5x = -18 Add '8' to each side of the equation. -8 + 8 + -5x = -18 + 8 Combine like terms: -8 + 8 = 0 0 + -5x = -18 + 8 -5x = -18 + 8 Combine like terms: -18 + 8 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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