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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 = -3x -30 + -3x = 6 + -12x + 12x Combine like terms: -12x + 12x = 0 -30 + -3x = 6 + 0 -30 + -3x = 6 Add '30' to each side of the equation. -30 + 30 + -3x = 6 + 30 Combine like terms: -30 + 30 = 0 0 + -3x = 6 + 30 -3x = 6 + 30 Combine like terms: 6 + 30 = 36 -3x = 36 Divide each side by '-3'. x = -12 Simplifying x = -12
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