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Simplifying -14x + 3(x + 10) = 7(2x + 4) + x Reorder the terms: -14x + 3(10 + x) = 7(2x + 4) + x -14x + (10 * 3 + x * 3) = 7(2x + 4) + x -14x + (30 + 3x) = 7(2x + 4) + x Reorder the terms: 30 + -14x + 3x = 7(2x + 4) + x Combine like terms: -14x + 3x = -11x 30 + -11x = 7(2x + 4) + x Reorder the terms: 30 + -11x = 7(4 + 2x) + x 30 + -11x = (4 * 7 + 2x * 7) + x 30 + -11x = (28 + 14x) + x Combine like terms: 14x + x = 15x 30 + -11x = 28 + 15x Solving 30 + -11x = 28 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 30 + -11x + -15x = 28 + 15x + -15x Combine like terms: -11x + -15x = -26x 30 + -26x = 28 + 15x + -15x Combine like terms: 15x + -15x = 0 30 + -26x = 28 + 0 30 + -26x = 28 Add '-30' to each side of the equation. 30 + -30 + -26x = 28 + -30 Combine like terms: 30 + -30 = 0 0 + -26x = 28 + -30 -26x = 28 + -30 Combine like terms: 28 + -30 = -2 -26x = -2 Divide each side by '-26'. x = 0.07692307692 Simplifying x = 0.07692307692
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