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Simplifying 71 + -1(3x + 15) = 3(x + 7) + x Reorder the terms: 71 + -1(15 + 3x) = 3(x + 7) + x 71 + (15 * -1 + 3x * -1) = 3(x + 7) + x 71 + (-15 + -3x) = 3(x + 7) + x Combine like terms: 71 + -15 = 56 56 + -3x = 3(x + 7) + x Reorder the terms: 56 + -3x = 3(7 + x) + x 56 + -3x = (7 * 3 + x * 3) + x 56 + -3x = (21 + 3x) + x Combine like terms: 3x + x = 4x 56 + -3x = 21 + 4x Solving 56 + -3x = 21 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 56 + -3x + -4x = 21 + 4x + -4x Combine like terms: -3x + -4x = -7x 56 + -7x = 21 + 4x + -4x Combine like terms: 4x + -4x = 0 56 + -7x = 21 + 0 56 + -7x = 21 Add '-56' to each side of the equation. 56 + -56 + -7x = 21 + -56 Combine like terms: 56 + -56 = 0 0 + -7x = 21 + -56 -7x = 21 + -56 Combine like terms: 21 + -56 = -35 -7x = -35 Divide each side by '-7'. x = 5 Simplifying x = 5
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