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Simplifying 2(-6x + 2) + -5(7 + -8x) = 14 + 29x Reorder the terms: 2(2 + -6x) + -5(7 + -8x) = 14 + 29x (2 * 2 + -6x * 2) + -5(7 + -8x) = 14 + 29x (4 + -12x) + -5(7 + -8x) = 14 + 29x 4 + -12x + (7 * -5 + -8x * -5) = 14 + 29x 4 + -12x + (-35 + 40x) = 14 + 29x Reorder the terms: 4 + -35 + -12x + 40x = 14 + 29x Combine like terms: 4 + -35 = -31 -31 + -12x + 40x = 14 + 29x Combine like terms: -12x + 40x = 28x -31 + 28x = 14 + 29x Solving -31 + 28x = 14 + 29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29x' to each side of the equation. -31 + 28x + -29x = 14 + 29x + -29x Combine like terms: 28x + -29x = -1x -31 + -1x = 14 + 29x + -29x Combine like terms: 29x + -29x = 0 -31 + -1x = 14 + 0 -31 + -1x = 14 Add '31' to each side of the equation. -31 + 31 + -1x = 14 + 31 Combine like terms: -31 + 31 = 0 0 + -1x = 14 + 31 -1x = 14 + 31 Combine like terms: 14 + 31 = 45 -1x = 45 Divide each side by '-1'. x = -45 Simplifying x = -45
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