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Simplifying x + -4 + -2(6 + -5x) = 5(4x + 8) x + -4 + (6 * -2 + -5x * -2) = 5(4x + 8) x + -4 + (-12 + 10x) = 5(4x + 8) Reorder the terms: -4 + -12 + x + 10x = 5(4x + 8) Combine like terms: -4 + -12 = -16 -16 + x + 10x = 5(4x + 8) Combine like terms: x + 10x = 11x -16 + 11x = 5(4x + 8) Reorder the terms: -16 + 11x = 5(8 + 4x) -16 + 11x = (8 * 5 + 4x * 5) -16 + 11x = (40 + 20x) Solving -16 + 11x = 40 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -16 + 11x + -20x = 40 + 20x + -20x Combine like terms: 11x + -20x = -9x -16 + -9x = 40 + 20x + -20x Combine like terms: 20x + -20x = 0 -16 + -9x = 40 + 0 -16 + -9x = 40 Add '16' to each side of the equation. -16 + 16 + -9x = 40 + 16 Combine like terms: -16 + 16 = 0 0 + -9x = 40 + 16 -9x = 40 + 16 Combine like terms: 40 + 16 = 56 -9x = 56 Divide each side by '-9'. x = -6.222222222 Simplifying x = -6.222222222
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