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Simplifying 43 + -1(3x + 9) = 3(x + 2) + x Reorder the terms: 43 + -1(9 + 3x) = 3(x + 2) + x 43 + (9 * -1 + 3x * -1) = 3(x + 2) + x 43 + (-9 + -3x) = 3(x + 2) + x Combine like terms: 43 + -9 = 34 34 + -3x = 3(x + 2) + x Reorder the terms: 34 + -3x = 3(2 + x) + x 34 + -3x = (2 * 3 + x * 3) + x 34 + -3x = (6 + 3x) + x Combine like terms: 3x + x = 4x 34 + -3x = 6 + 4x Solving 34 + -3x = 6 + 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. 34 + -3x + -4x = 6 + 4x + -4x Combine like terms: -3x + -4x = -7x 34 + -7x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 34 + -7x = 6 + 0 34 + -7x = 6 Add '-34' to each side of the equation. 34 + -34 + -7x = 6 + -34 Combine like terms: 34 + -34 = 0 0 + -7x = 6 + -34 -7x = 6 + -34 Combine like terms: 6 + -34 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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