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Simplifying 45 + -1(3x + 10) = 3(x + 7) + x Reorder the terms: 45 + -1(10 + 3x) = 3(x + 7) + x 45 + (10 * -1 + 3x * -1) = 3(x + 7) + x 45 + (-10 + -3x) = 3(x + 7) + x Combine like terms: 45 + -10 = 35 35 + -3x = 3(x + 7) + x Reorder the terms: 35 + -3x = 3(7 + x) + x 35 + -3x = (7 * 3 + x * 3) + x 35 + -3x = (21 + 3x) + x Combine like terms: 3x + x = 4x 35 + -3x = 21 + 4x Solving 35 + -3x = 21 + 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. 35 + -3x + -4x = 21 + 4x + -4x Combine like terms: -3x + -4x = -7x 35 + -7x = 21 + 4x + -4x Combine like terms: 4x + -4x = 0 35 + -7x = 21 + 0 35 + -7x = 21 Add '-35' to each side of the equation. 35 + -35 + -7x = 21 + -35 Combine like terms: 35 + -35 = 0 0 + -7x = 21 + -35 -7x = 21 + -35 Combine like terms: 21 + -35 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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