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Simplifying 5(3 + -1x) + 2(3 + -1x) = 14 (3 * 5 + -1x * 5) + 2(3 + -1x) = 14 (15 + -5x) + 2(3 + -1x) = 14 15 + -5x + (3 * 2 + -1x * 2) = 14 15 + -5x + (6 + -2x) = 14 Reorder the terms: 15 + 6 + -5x + -2x = 14 Combine like terms: 15 + 6 = 21 21 + -5x + -2x = 14 Combine like terms: -5x + -2x = -7x 21 + -7x = 14 Solving 21 + -7x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -7x = 14 + -21 Combine like terms: 21 + -21 = 0 0 + -7x = 14 + -21 -7x = 14 + -21 Combine like terms: 14 + -21 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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