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Simplifying -3(x + 4) + -5x = 11x + 24 + 4 + -1x Reorder the terms: -3(4 + x) + -5x = 11x + 24 + 4 + -1x (4 * -3 + x * -3) + -5x = 11x + 24 + 4 + -1x (-12 + -3x) + -5x = 11x + 24 + 4 + -1x Combine like terms: -3x + -5x = -8x -12 + -8x = 11x + 24 + 4 + -1x Reorder the terms: -12 + -8x = 24 + 4 + 11x + -1x Combine like terms: 24 + 4 = 28 -12 + -8x = 28 + 11x + -1x Combine like terms: 11x + -1x = 10x -12 + -8x = 28 + 10x Solving -12 + -8x = 28 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -12 + -8x + -10x = 28 + 10x + -10x Combine like terms: -8x + -10x = -18x -12 + -18x = 28 + 10x + -10x Combine like terms: 10x + -10x = 0 -12 + -18x = 28 + 0 -12 + -18x = 28 Add '12' to each side of the equation. -12 + 12 + -18x = 28 + 12 Combine like terms: -12 + 12 = 0 0 + -18x = 28 + 12 -18x = 28 + 12 Combine like terms: 28 + 12 = 40 -18x = 40 Divide each side by '-18'. x = -2.222222222 Simplifying x = -2.222222222
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