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Simplifying 5 + -6(3x + -4) = 4(3x + 8) + 5x Reorder the terms: 5 + -6(-4 + 3x) = 4(3x + 8) + 5x 5 + (-4 * -6 + 3x * -6) = 4(3x + 8) + 5x 5 + (24 + -18x) = 4(3x + 8) + 5x Combine like terms: 5 + 24 = 29 29 + -18x = 4(3x + 8) + 5x Reorder the terms: 29 + -18x = 4(8 + 3x) + 5x 29 + -18x = (8 * 4 + 3x * 4) + 5x 29 + -18x = (32 + 12x) + 5x Combine like terms: 12x + 5x = 17x 29 + -18x = 32 + 17x Solving 29 + -18x = 32 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 29 + -18x + -17x = 32 + 17x + -17x Combine like terms: -18x + -17x = -35x 29 + -35x = 32 + 17x + -17x Combine like terms: 17x + -17x = 0 29 + -35x = 32 + 0 29 + -35x = 32 Add '-29' to each side of the equation. 29 + -29 + -35x = 32 + -29 Combine like terms: 29 + -29 = 0 0 + -35x = 32 + -29 -35x = 32 + -29 Combine like terms: 32 + -29 = 3 -35x = 3 Divide each side by '-35'. x = -0.08571428571 Simplifying x = -0.08571428571
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