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Simplifying 3x + -4(2x + -3) = -2x + -3 Reorder the terms: 3x + -4(-3 + 2x) = -2x + -3 3x + (-3 * -4 + 2x * -4) = -2x + -3 3x + (12 + -8x) = -2x + -3 Reorder the terms: 12 + 3x + -8x = -2x + -3 Combine like terms: 3x + -8x = -5x 12 + -5x = -2x + -3 Reorder the terms: 12 + -5x = -3 + -2x Solving 12 + -5x = -3 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 12 + -5x + 2x = -3 + -2x + 2x Combine like terms: -5x + 2x = -3x 12 + -3x = -3 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + -3x = -3 + 0 12 + -3x = -3 Add '-12' to each side of the equation. 12 + -12 + -3x = -3 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = -3 + -12 -3x = -3 + -12 Combine like terms: -3 + -12 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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