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Simplifying 3(6x + -5) = 20x + (4x + -9) Reorder the terms: 3(-5 + 6x) = 20x + (4x + -9) (-5 * 3 + 6x * 3) = 20x + (4x + -9) (-15 + 18x) = 20x + (4x + -9) Reorder the terms: -15 + 18x = 20x + (-9 + 4x) Remove parenthesis around (-9 + 4x) -15 + 18x = 20x + -9 + 4x Reorder the terms: -15 + 18x = -9 + 20x + 4x Combine like terms: 20x + 4x = 24x -15 + 18x = -9 + 24x Solving -15 + 18x = -9 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -15 + 18x + -24x = -9 + 24x + -24x Combine like terms: 18x + -24x = -6x -15 + -6x = -9 + 24x + -24x Combine like terms: 24x + -24x = 0 -15 + -6x = -9 + 0 -15 + -6x = -9 Add '15' to each side of the equation. -15 + 15 + -6x = -9 + 15 Combine like terms: -15 + 15 = 0 0 + -6x = -9 + 15 -6x = -9 + 15 Combine like terms: -9 + 15 = 6 -6x = 6 Divide each side by '-6'. x = -1 Simplifying x = -1
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