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Simplifying 2(x + 7) + -4x = 2(x + 3) + 8x Reorder the terms: 2(7 + x) + -4x = 2(x + 3) + 8x (7 * 2 + x * 2) + -4x = 2(x + 3) + 8x (14 + 2x) + -4x = 2(x + 3) + 8x Combine like terms: 2x + -4x = -2x 14 + -2x = 2(x + 3) + 8x Reorder the terms: 14 + -2x = 2(3 + x) + 8x 14 + -2x = (3 * 2 + x * 2) + 8x 14 + -2x = (6 + 2x) + 8x Combine like terms: 2x + 8x = 10x 14 + -2x = 6 + 10x Solving 14 + -2x = 6 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 14 + -2x + -10x = 6 + 10x + -10x Combine like terms: -2x + -10x = -12x 14 + -12x = 6 + 10x + -10x Combine like terms: 10x + -10x = 0 14 + -12x = 6 + 0 14 + -12x = 6 Add '-14' to each side of the equation. 14 + -14 + -12x = 6 + -14 Combine like terms: 14 + -14 = 0 0 + -12x = 6 + -14 -12x = 6 + -14 Combine like terms: 6 + -14 = -8 -12x = -8 Divide each side by '-12'. x = 0.6666666667 Simplifying x = 0.6666666667
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