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Simplifying 59 + -1(3x + 5) = 3(x + 4) + x Reorder the terms: 59 + -1(5 + 3x) = 3(x + 4) + x 59 + (5 * -1 + 3x * -1) = 3(x + 4) + x 59 + (-5 + -3x) = 3(x + 4) + x Combine like terms: 59 + -5 = 54 54 + -3x = 3(x + 4) + x Reorder the terms: 54 + -3x = 3(4 + x) + x 54 + -3x = (4 * 3 + x * 3) + x 54 + -3x = (12 + 3x) + x Combine like terms: 3x + x = 4x 54 + -3x = 12 + 4x Solving 54 + -3x = 12 + 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. 54 + -3x + -4x = 12 + 4x + -4x Combine like terms: -3x + -4x = -7x 54 + -7x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 54 + -7x = 12 + 0 54 + -7x = 12 Add '-54' to each side of the equation. 54 + -54 + -7x = 12 + -54 Combine like terms: 54 + -54 = 0 0 + -7x = 12 + -54 -7x = 12 + -54 Combine like terms: 12 + -54 = -42 -7x = -42 Divide each side by '-7'. x = 6 Simplifying x = 6
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