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Simplifying 2(x + -3) + -4(3x + 4) = -11(x + 2) + -3 Reorder the terms: 2(-3 + x) + -4(3x + 4) = -11(x + 2) + -3 (-3 * 2 + x * 2) + -4(3x + 4) = -11(x + 2) + -3 (-6 + 2x) + -4(3x + 4) = -11(x + 2) + -3 Reorder the terms: -6 + 2x + -4(4 + 3x) = -11(x + 2) + -3 -6 + 2x + (4 * -4 + 3x * -4) = -11(x + 2) + -3 -6 + 2x + (-16 + -12x) = -11(x + 2) + -3 Reorder the terms: -6 + -16 + 2x + -12x = -11(x + 2) + -3 Combine like terms: -6 + -16 = -22 -22 + 2x + -12x = -11(x + 2) + -3 Combine like terms: 2x + -12x = -10x -22 + -10x = -11(x + 2) + -3 Reorder the terms: -22 + -10x = -11(2 + x) + -3 -22 + -10x = (2 * -11 + x * -11) + -3 -22 + -10x = (-22 + -11x) + -3 Reorder the terms: -22 + -10x = -22 + -3 + -11x Combine like terms: -22 + -3 = -25 -22 + -10x = -25 + -11x Solving -22 + -10x = -25 + -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. -22 + -10x + 11x = -25 + -11x + 11x Combine like terms: -10x + 11x = 1x -22 + 1x = -25 + -11x + 11x Combine like terms: -11x + 11x = 0 -22 + 1x = -25 + 0 -22 + 1x = -25 Add '22' to each side of the equation. -22 + 22 + 1x = -25 + 22 Combine like terms: -22 + 22 = 0 0 + 1x = -25 + 22 1x = -25 + 22 Combine like terms: -25 + 22 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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