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Simplifying 5(3 + -1x) = 7x + 2 (3 * 5 + -1x * 5) = 7x + 2 (15 + -5x) = 7x + 2 Reorder the terms: 15 + -5x = 2 + 7x Solving 15 + -5x = 2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 15 + -5x + -7x = 2 + 7x + -7x Combine like terms: -5x + -7x = -12x 15 + -12x = 2 + 7x + -7x Combine like terms: 7x + -7x = 0 15 + -12x = 2 + 0 15 + -12x = 2 Add '-15' to each side of the equation. 15 + -15 + -12x = 2 + -15 Combine like terms: 15 + -15 = 0 0 + -12x = 2 + -15 -12x = 2 + -15 Combine like terms: 2 + -15 = -13 -12x = -13 Divide each side by '-12'. x = 1.083333333 Simplifying x = 1.083333333
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