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Simplifying -4(2x + -3) = 3(x + 1) Reorder the terms: -4(-3 + 2x) = 3(x + 1) (-3 * -4 + 2x * -4) = 3(x + 1) (12 + -8x) = 3(x + 1) Reorder the terms: 12 + -8x = 3(1 + x) 12 + -8x = (1 * 3 + x * 3) 12 + -8x = (3 + 3x) Solving 12 + -8x = 3 + 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 + -8x + -3x = 3 + 3x + -3x Combine like terms: -8x + -3x = -11x 12 + -11x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + -11x = 3 + 0 12 + -11x = 3 Add '-12' to each side of the equation. 12 + -12 + -11x = 3 + -12 Combine like terms: 12 + -12 = 0 0 + -11x = 3 + -12 -11x = 3 + -12 Combine like terms: 3 + -12 = -9 -11x = -9 Divide each side by '-11'. x = 0.8181818182 Simplifying x = 0.8181818182
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