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Simplifying 6(3x + -5) = (5x + -5) * 4 Reorder the terms: 6(-5 + 3x) = (5x + -5) * 4 (-5 * 6 + 3x * 6) = (5x + -5) * 4 (-30 + 18x) = (5x + -5) * 4 Reorder the terms: -30 + 18x = (-5 + 5x) * 4 Reorder the terms for easier multiplication: -30 + 18x = 4(-5 + 5x) -30 + 18x = (-5 * 4 + 5x * 4) -30 + 18x = (-20 + 20x) Solving -30 + 18x = -20 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -30 + 18x + -20x = -20 + 20x + -20x Combine like terms: 18x + -20x = -2x -30 + -2x = -20 + 20x + -20x Combine like terms: 20x + -20x = 0 -30 + -2x = -20 + 0 -30 + -2x = -20 Add '30' to each side of the equation. -30 + 30 + -2x = -20 + 30 Combine like terms: -30 + 30 = 0 0 + -2x = -20 + 30 -2x = -20 + 30 Combine like terms: -20 + 30 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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