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Simplifying 75 + -1(3x + 13) = 3(x + 9) + x Reorder the terms: 75 + -1(13 + 3x) = 3(x + 9) + x 75 + (13 * -1 + 3x * -1) = 3(x + 9) + x 75 + (-13 + -3x) = 3(x + 9) + x Combine like terms: 75 + -13 = 62 62 + -3x = 3(x + 9) + x Reorder the terms: 62 + -3x = 3(9 + x) + x 62 + -3x = (9 * 3 + x * 3) + x 62 + -3x = (27 + 3x) + x Combine like terms: 3x + x = 4x 62 + -3x = 27 + 4x Solving 62 + -3x = 27 + 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. 62 + -3x + -4x = 27 + 4x + -4x Combine like terms: -3x + -4x = -7x 62 + -7x = 27 + 4x + -4x Combine like terms: 4x + -4x = 0 62 + -7x = 27 + 0 62 + -7x = 27 Add '-62' to each side of the equation. 62 + -62 + -7x = 27 + -62 Combine like terms: 62 + -62 = 0 0 + -7x = 27 + -62 -7x = 27 + -62 Combine like terms: 27 + -62 = -35 -7x = -35 Divide each side by '-7'. x = 5 Simplifying x = 5
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