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Simplifying 6(2x + -15) = 3(5x + -30) Reorder the terms: 6(-15 + 2x) = 3(5x + -30) (-15 * 6 + 2x * 6) = 3(5x + -30) (-90 + 12x) = 3(5x + -30) Reorder the terms: -90 + 12x = 3(-30 + 5x) -90 + 12x = (-30 * 3 + 5x * 3) -90 + 12x = (-90 + 15x) Add '90' to each side of the equation. -90 + 90 + 12x = -90 + 90 + 15x Combine like terms: -90 + 90 = 0 0 + 12x = -90 + 90 + 15x 12x = -90 + 90 + 15x Combine like terms: -90 + 90 = 0 12x = 0 + 15x 12x = 15x Solving 12x = 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 12x + -15x = 15x + -15x Combine like terms: 12x + -15x = -3x -3x = 15x + -15x Combine like terms: 15x + -15x = 0 -3x = 0 Divide each side by '-3'. x = 0 Simplifying x = 0
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