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Simplifying 5x + 3(x + -4) = 24 + -2(5 + -2x) + 7x Reorder the terms: 5x + 3(-4 + x) = 24 + -2(5 + -2x) + 7x 5x + (-4 * 3 + x * 3) = 24 + -2(5 + -2x) + 7x 5x + (-12 + 3x) = 24 + -2(5 + -2x) + 7x Reorder the terms: -12 + 5x + 3x = 24 + -2(5 + -2x) + 7x Combine like terms: 5x + 3x = 8x -12 + 8x = 24 + -2(5 + -2x) + 7x -12 + 8x = 24 + (5 * -2 + -2x * -2) + 7x -12 + 8x = 24 + (-10 + 4x) + 7x Combine like terms: 24 + -10 = 14 -12 + 8x = 14 + 4x + 7x Combine like terms: 4x + 7x = 11x -12 + 8x = 14 + 11x Solving -12 + 8x = 14 + 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. -12 + 8x + -11x = 14 + 11x + -11x Combine like terms: 8x + -11x = -3x -12 + -3x = 14 + 11x + -11x Combine like terms: 11x + -11x = 0 -12 + -3x = 14 + 0 -12 + -3x = 14 Add '12' to each side of the equation. -12 + 12 + -3x = 14 + 12 Combine like terms: -12 + 12 = 0 0 + -3x = 14 + 12 -3x = 14 + 12 Combine like terms: 14 + 12 = 26 -3x = 26 Divide each side by '-3'. x = -8.666666667 Simplifying x = -8.666666667
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