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Simplifying 3x + -4(2x + -3) = 3x + -12 Reorder the terms: 3x + -4(-3 + 2x) = 3x + -12 3x + (-3 * -4 + 2x * -4) = 3x + -12 3x + (12 + -8x) = 3x + -12 Reorder the terms: 12 + 3x + -8x = 3x + -12 Combine like terms: 3x + -8x = -5x 12 + -5x = 3x + -12 Reorder the terms: 12 + -5x = -12 + 3x Solving 12 + -5x = -12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 12 + -5x + -3x = -12 + 3x + -3x Combine like terms: -5x + -3x = -8x 12 + -8x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + -8x = -12 + 0 12 + -8x = -12 Add '-12' to each side of the equation. 12 + -12 + -8x = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -8x = -12 + -12 -8x = -12 + -12 Combine like terms: -12 + -12 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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