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Simplifying 4(5x + -6) + -9(2x + -4) = [4(5x + -11) + -6x] Reorder the terms: 4(-6 + 5x) + -9(2x + -4) = [4(5x + -11) + -6x] (-6 * 4 + 5x * 4) + -9(2x + -4) = [4(5x + -11) + -6x] (-24 + 20x) + -9(2x + -4) = [4(5x + -11) + -6x] Reorder the terms: -24 + 20x + -9(-4 + 2x) = [4(5x + -11) + -6x] -24 + 20x + (-4 * -9 + 2x * -9) = [4(5x + -11) + -6x] -24 + 20x + (36 + -18x) = [4(5x + -11) + -6x] Reorder the terms: -24 + 36 + 20x + -18x = [4(5x + -11) + -6x] Combine like terms: -24 + 36 = 12 12 + 20x + -18x = [4(5x + -11) + -6x] Combine like terms: 20x + -18x = 2x 12 + 2x = [4(5x + -11) + -6x] Reorder the terms: 12 + 2x = [4(-11 + 5x) + -6x] 12 + 2x = [(-11 * 4 + 5x * 4) + -6x] 12 + 2x = [(-44 + 20x) + -6x] Combine like terms: 20x + -6x = 14x 12 + 2x = [-44 + 14x] Remove brackets around [-44 + 14x] 12 + 2x = -44 + 14x Solving 12 + 2x = -44 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 12 + 2x + -14x = -44 + 14x + -14x Combine like terms: 2x + -14x = -12x 12 + -12x = -44 + 14x + -14x Combine like terms: 14x + -14x = 0 12 + -12x = -44 + 0 12 + -12x = -44 Add '-12' to each side of the equation. 12 + -12 + -12x = -44 + -12 Combine like terms: 12 + -12 = 0 0 + -12x = -44 + -12 -12x = -44 + -12 Combine like terms: -44 + -12 = -56 -12x = -56 Divide each side by '-12'. x = 4.666666667 Simplifying x = 4.666666667
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