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Simplifying 30 + -1(3x + 4) = 2(x + 7) + x Reorder the terms: 30 + -1(4 + 3x) = 2(x + 7) + x 30 + (4 * -1 + 3x * -1) = 2(x + 7) + x 30 + (-4 + -3x) = 2(x + 7) + x Combine like terms: 30 + -4 = 26 26 + -3x = 2(x + 7) + x Reorder the terms: 26 + -3x = 2(7 + x) + x 26 + -3x = (7 * 2 + x * 2) + x 26 + -3x = (14 + 2x) + x Combine like terms: 2x + x = 3x 26 + -3x = 14 + 3x Solving 26 + -3x = 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. 26 + -3x + -3x = 14 + 3x + -3x Combine like terms: -3x + -3x = -6x 26 + -6x = 14 + 3x + -3x Combine like terms: 3x + -3x = 0 26 + -6x = 14 + 0 26 + -6x = 14 Add '-26' to each side of the equation. 26 + -26 + -6x = 14 + -26 Combine like terms: 26 + -26 = 0 0 + -6x = 14 + -26 -6x = 14 + -26 Combine like terms: 14 + -26 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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