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Simplifying 3x + -2(12 + -1x) = 4(2x + -3) + 3(x + 1) 3x + (12 * -2 + -1x * -2) = 4(2x + -3) + 3(x + 1) 3x + (-24 + 2x) = 4(2x + -3) + 3(x + 1) Reorder the terms: -24 + 3x + 2x = 4(2x + -3) + 3(x + 1) Combine like terms: 3x + 2x = 5x -24 + 5x = 4(2x + -3) + 3(x + 1) Reorder the terms: -24 + 5x = 4(-3 + 2x) + 3(x + 1) -24 + 5x = (-3 * 4 + 2x * 4) + 3(x + 1) -24 + 5x = (-12 + 8x) + 3(x + 1) Reorder the terms: -24 + 5x = -12 + 8x + 3(1 + x) -24 + 5x = -12 + 8x + (1 * 3 + x * 3) -24 + 5x = -12 + 8x + (3 + 3x) Reorder the terms: -24 + 5x = -12 + 3 + 8x + 3x Combine like terms: -12 + 3 = -9 -24 + 5x = -9 + 8x + 3x Combine like terms: 8x + 3x = 11x -24 + 5x = -9 + 11x Solving -24 + 5x = -9 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -24 + 5x + -11x = -9 + 11x + -11x Combine like terms: 5x + -11x = -6x -24 + -6x = -9 + 11x + -11x Combine like terms: 11x + -11x = 0 -24 + -6x = -9 + 0 -24 + -6x = -9 Add '24' to each side of the equation. -24 + 24 + -6x = -9 + 24 Combine like terms: -24 + 24 = 0 0 + -6x = -9 + 24 -6x = -9 + 24 Combine like terms: -9 + 24 = 15 -6x = 15 Divide each side by '-6'. x = -2.5 Simplifying x = -2.5
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