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Simplifying 59 + -1(3x + 6) = 3(x + 6) + x Reorder the terms: 59 + -1(6 + 3x) = 3(x + 6) + x 59 + (6 * -1 + 3x * -1) = 3(x + 6) + x 59 + (-6 + -3x) = 3(x + 6) + x Combine like terms: 59 + -6 = 53 53 + -3x = 3(x + 6) + x Reorder the terms: 53 + -3x = 3(6 + x) + x 53 + -3x = (6 * 3 + x * 3) + x 53 + -3x = (18 + 3x) + x Combine like terms: 3x + x = 4x 53 + -3x = 18 + 4x Solving 53 + -3x = 18 + 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. 53 + -3x + -4x = 18 + 4x + -4x Combine like terms: -3x + -4x = -7x 53 + -7x = 18 + 4x + -4x Combine like terms: 4x + -4x = 0 53 + -7x = 18 + 0 53 + -7x = 18 Add '-53' to each side of the equation. 53 + -53 + -7x = 18 + -53 Combine like terms: 53 + -53 = 0 0 + -7x = 18 + -53 -7x = 18 + -53 Combine like terms: 18 + -53 = -35 -7x = -35 Divide each side by '-7'. x = 5 Simplifying x = 5
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