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Simplifying 34 + -1(4x + 6) = 2(x + 7) + x Reorder the terms: 34 + -1(6 + 4x) = 2(x + 7) + x 34 + (6 * -1 + 4x * -1) = 2(x + 7) + x 34 + (-6 + -4x) = 2(x + 7) + x Combine like terms: 34 + -6 = 28 28 + -4x = 2(x + 7) + x Reorder the terms: 28 + -4x = 2(7 + x) + x 28 + -4x = (7 * 2 + x * 2) + x 28 + -4x = (14 + 2x) + x Combine like terms: 2x + x = 3x 28 + -4x = 14 + 3x Solving 28 + -4x = 14 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 28 + -4x + -3x = 14 + 3x + -3x Combine like terms: -4x + -3x = -7x 28 + -7x = 14 + 3x + -3x Combine like terms: 3x + -3x = 0 28 + -7x = 14 + 0 28 + -7x = 14 Add '-28' to each side of the equation. 28 + -28 + -7x = 14 + -28 Combine like terms: 28 + -28 = 0 0 + -7x = 14 + -28 -7x = 14 + -28 Combine like terms: 14 + -28 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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