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Simplifying -2(5x + -1) + -4 = 22 + -7x + 8(3x + -1) Reorder the terms: -2(-1 + 5x) + -4 = 22 + -7x + 8(3x + -1) (-1 * -2 + 5x * -2) + -4 = 22 + -7x + 8(3x + -1) (2 + -10x) + -4 = 22 + -7x + 8(3x + -1) Reorder the terms: 2 + -4 + -10x = 22 + -7x + 8(3x + -1) Combine like terms: 2 + -4 = -2 -2 + -10x = 22 + -7x + 8(3x + -1) Reorder the terms: -2 + -10x = 22 + -7x + 8(-1 + 3x) -2 + -10x = 22 + -7x + (-1 * 8 + 3x * 8) -2 + -10x = 22 + -7x + (-8 + 24x) Reorder the terms: -2 + -10x = 22 + -8 + -7x + 24x Combine like terms: 22 + -8 = 14 -2 + -10x = 14 + -7x + 24x Combine like terms: -7x + 24x = 17x -2 + -10x = 14 + 17x Solving -2 + -10x = 14 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -2 + -10x + -17x = 14 + 17x + -17x Combine like terms: -10x + -17x = -27x -2 + -27x = 14 + 17x + -17x Combine like terms: 17x + -17x = 0 -2 + -27x = 14 + 0 -2 + -27x = 14 Add '2' to each side of the equation. -2 + 2 + -27x = 14 + 2 Combine like terms: -2 + 2 = 0 0 + -27x = 14 + 2 -27x = 14 + 2 Combine like terms: 14 + 2 = 16 -27x = 16 Divide each side by '-27'. x = -0.5925925926 Simplifying x = -0.5925925926
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