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Simplifying 6(6x + -4) + 6(17 + -3x) + -5(4x + 5) = -14 Reorder the terms: 6(-4 + 6x) + 6(17 + -3x) + -5(4x + 5) = -14 (-4 * 6 + 6x * 6) + 6(17 + -3x) + -5(4x + 5) = -14 (-24 + 36x) + 6(17 + -3x) + -5(4x + 5) = -14 -24 + 36x + (17 * 6 + -3x * 6) + -5(4x + 5) = -14 -24 + 36x + (102 + -18x) + -5(4x + 5) = -14 Reorder the terms: -24 + 36x + 102 + -18x + -5(5 + 4x) = -14 -24 + 36x + 102 + -18x + (5 * -5 + 4x * -5) = -14 -24 + 36x + 102 + -18x + (-25 + -20x) = -14 Reorder the terms: -24 + 102 + -25 + 36x + -18x + -20x = -14 Combine like terms: -24 + 102 = 78 78 + -25 + 36x + -18x + -20x = -14 Combine like terms: 78 + -25 = 53 53 + 36x + -18x + -20x = -14 Combine like terms: 36x + -18x = 18x 53 + 18x + -20x = -14 Combine like terms: 18x + -20x = -2x 53 + -2x = -14 Solving 53 + -2x = -14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-53' to each side of the equation. 53 + -53 + -2x = -14 + -53 Combine like terms: 53 + -53 = 0 0 + -2x = -14 + -53 -2x = -14 + -53 Combine like terms: -14 + -53 = -67 -2x = -67 Divide each side by '-2'. x = 33.5 Simplifying x = 33.5
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