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Simplifying 4(3x + -3) = 2(2x + -10) Reorder the terms: 4(-3 + 3x) = 2(2x + -10) (-3 * 4 + 3x * 4) = 2(2x + -10) (-12 + 12x) = 2(2x + -10) Reorder the terms: -12 + 12x = 2(-10 + 2x) -12 + 12x = (-10 * 2 + 2x * 2) -12 + 12x = (-20 + 4x) Solving -12 + 12x = -20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -12 + 12x + -4x = -20 + 4x + -4x Combine like terms: 12x + -4x = 8x -12 + 8x = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 8x = -20 + 0 -12 + 8x = -20 Add '12' to each side of the equation. -12 + 12 + 8x = -20 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = -20 + 12 8x = -20 + 12 Combine like terms: -20 + 12 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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