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Simplifying -5(3x + 6) = 3(4x + -2) Reorder the terms: -5(6 + 3x) = 3(4x + -2) (6 * -5 + 3x * -5) = 3(4x + -2) (-30 + -15x) = 3(4x + -2) Reorder the terms: -30 + -15x = 3(-2 + 4x) -30 + -15x = (-2 * 3 + 4x * 3) -30 + -15x = (-6 + 12x) Solving -30 + -15x = -6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -30 + -15x + -12x = -6 + 12x + -12x Combine like terms: -15x + -12x = -27x -30 + -27x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 -30 + -27x = -6 + 0 -30 + -27x = -6 Add '30' to each side of the equation. -30 + 30 + -27x = -6 + 30 Combine like terms: -30 + 30 = 0 0 + -27x = -6 + 30 -27x = -6 + 30 Combine like terms: -6 + 30 = 24 -27x = 24 Divide each side by '-27'. x = -0.8888888889 Simplifying x = -0.8888888889
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