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Simplifying 2(7 + -8x + -4x) + 3(6x + 5) = 5 Combine like terms: -8x + -4x = -12x 2(7 + -12x) + 3(6x + 5) = 5 (7 * 2 + -12x * 2) + 3(6x + 5) = 5 (14 + -24x) + 3(6x + 5) = 5 Reorder the terms: 14 + -24x + 3(5 + 6x) = 5 14 + -24x + (5 * 3 + 6x * 3) = 5 14 + -24x + (15 + 18x) = 5 Reorder the terms: 14 + 15 + -24x + 18x = 5 Combine like terms: 14 + 15 = 29 29 + -24x + 18x = 5 Combine like terms: -24x + 18x = -6x 29 + -6x = 5 Solving 29 + -6x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + -6x = 5 + -29 Combine like terms: 29 + -29 = 0 0 + -6x = 5 + -29 -6x = 5 + -29 Combine like terms: 5 + -29 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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