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Simplifying 59 + -1(2x + 4) = 4(x + 5) + x Reorder the terms: 59 + -1(4 + 2x) = 4(x + 5) + x 59 + (4 * -1 + 2x * -1) = 4(x + 5) + x 59 + (-4 + -2x) = 4(x + 5) + x Combine like terms: 59 + -4 = 55 55 + -2x = 4(x + 5) + x Reorder the terms: 55 + -2x = 4(5 + x) + x 55 + -2x = (5 * 4 + x * 4) + x 55 + -2x = (20 + 4x) + x Combine like terms: 4x + x = 5x 55 + -2x = 20 + 5x Solving 55 + -2x = 20 + 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. 55 + -2x + -5x = 20 + 5x + -5x Combine like terms: -2x + -5x = -7x 55 + -7x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 55 + -7x = 20 + 0 55 + -7x = 20 Add '-55' to each side of the equation. 55 + -55 + -7x = 20 + -55 Combine like terms: 55 + -55 = 0 0 + -7x = 20 + -55 -7x = 20 + -55 Combine like terms: 20 + -55 = -35 -7x = -35 Divide each side by '-7'. x = 5 Simplifying x = 5
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