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Simplifying 30 + -1(2x + 6) = 2(x + 7) + x Reorder the terms: 30 + -1(6 + 2x) = 2(x + 7) + x 30 + (6 * -1 + 2x * -1) = 2(x + 7) + x 30 + (-6 + -2x) = 2(x + 7) + x Combine like terms: 30 + -6 = 24 24 + -2x = 2(x + 7) + x Reorder the terms: 24 + -2x = 2(7 + x) + x 24 + -2x = (7 * 2 + x * 2) + x 24 + -2x = (14 + 2x) + x Combine like terms: 2x + x = 3x 24 + -2x = 14 + 3x Solving 24 + -2x = 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. 24 + -2x + -3x = 14 + 3x + -3x Combine like terms: -2x + -3x = -5x 24 + -5x = 14 + 3x + -3x Combine like terms: 3x + -3x = 0 24 + -5x = 14 + 0 24 + -5x = 14 Add '-24' to each side of the equation. 24 + -24 + -5x = 14 + -24 Combine like terms: 24 + -24 = 0 0 + -5x = 14 + -24 -5x = 14 + -24 Combine like terms: 14 + -24 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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