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Simplifying 2x + -5(3 + 4x) = 9(x + -6) 2x + (3 * -5 + 4x * -5) = 9(x + -6) 2x + (-15 + -20x) = 9(x + -6) Reorder the terms: -15 + 2x + -20x = 9(x + -6) Combine like terms: 2x + -20x = -18x -15 + -18x = 9(x + -6) Reorder the terms: -15 + -18x = 9(-6 + x) -15 + -18x = (-6 * 9 + x * 9) -15 + -18x = (-54 + 9x) Solving -15 + -18x = -54 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -15 + -18x + -9x = -54 + 9x + -9x Combine like terms: -18x + -9x = -27x -15 + -27x = -54 + 9x + -9x Combine like terms: 9x + -9x = 0 -15 + -27x = -54 + 0 -15 + -27x = -54 Add '15' to each side of the equation. -15 + 15 + -27x = -54 + 15 Combine like terms: -15 + 15 = 0 0 + -27x = -54 + 15 -27x = -54 + 15 Combine like terms: -54 + 15 = -39 -27x = -39 Divide each side by '-27'. x = 1.444444444 Simplifying x = 1.444444444
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