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Simplifying 17x + -12 + -7x = 3(5x + 6) Reorder the terms: -12 + 17x + -7x = 3(5x + 6) Combine like terms: 17x + -7x = 10x -12 + 10x = 3(5x + 6) Reorder the terms: -12 + 10x = 3(6 + 5x) -12 + 10x = (6 * 3 + 5x * 3) -12 + 10x = (18 + 15x) Solving -12 + 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. -12 + 10x + -15x = 18 + 15x + -15x Combine like terms: 10x + -15x = -5x -12 + -5x = 18 + 15x + -15x Combine like terms: 15x + -15x = 0 -12 + -5x = 18 + 0 -12 + -5x = 18 Add '12' to each side of the equation. -12 + 12 + -5x = 18 + 12 Combine like terms: -12 + 12 = 0 0 + -5x = 18 + 12 -5x = 18 + 12 Combine like terms: 18 + 12 = 30 -5x = 30 Divide each side by '-5'. x = -6 Simplifying x = -6
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