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Simplifying 59 + -1(2x + 3) = 4(x + 7) + x Reorder the terms: 59 + -1(3 + 2x) = 4(x + 7) + x 59 + (3 * -1 + 2x * -1) = 4(x + 7) + x 59 + (-3 + -2x) = 4(x + 7) + x Combine like terms: 59 + -3 = 56 56 + -2x = 4(x + 7) + x Reorder the terms: 56 + -2x = 4(7 + x) + x 56 + -2x = (7 * 4 + x * 4) + x 56 + -2x = (28 + 4x) + x Combine like terms: 4x + x = 5x 56 + -2x = 28 + 5x Solving 56 + -2x = 28 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 56 + -2x + -5x = 28 + 5x + -5x Combine like terms: -2x + -5x = -7x 56 + -7x = 28 + 5x + -5x Combine like terms: 5x + -5x = 0 56 + -7x = 28 + 0 56 + -7x = 28 Add '-56' to each side of the equation. 56 + -56 + -7x = 28 + -56 Combine like terms: 56 + -56 = 0 0 + -7x = 28 + -56 -7x = 28 + -56 Combine like terms: 28 + -56 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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