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Simplifying 5(3x + -1) = -2(x + -6) Reorder the terms: 5(-1 + 3x) = -2(x + -6) (-1 * 5 + 3x * 5) = -2(x + -6) (-5 + 15x) = -2(x + -6) Reorder the terms: -5 + 15x = -2(-6 + x) -5 + 15x = (-6 * -2 + x * -2) -5 + 15x = (12 + -2x) Solving -5 + 15x = 12 + -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. -5 + 15x + 2x = 12 + -2x + 2x Combine like terms: 15x + 2x = 17x -5 + 17x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 -5 + 17x = 12 + 0 -5 + 17x = 12 Add '5' to each side of the equation. -5 + 5 + 17x = 12 + 5 Combine like terms: -5 + 5 = 0 0 + 17x = 12 + 5 17x = 12 + 5 Combine like terms: 12 + 5 = 17 17x = 17 Divide each side by '17'. x = 1 Simplifying x = 1
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