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Simplifying 5(x + -2) + -4x = 8(1 + -1x) Reorder the terms: 5(-2 + x) + -4x = 8(1 + -1x) (-2 * 5 + x * 5) + -4x = 8(1 + -1x) (-10 + 5x) + -4x = 8(1 + -1x) Combine like terms: 5x + -4x = 1x -10 + 1x = 8(1 + -1x) -10 + 1x = (1 * 8 + -1x * 8) -10 + 1x = (8 + -8x) Solving -10 + 1x = 8 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -10 + 1x + 8x = 8 + -8x + 8x Combine like terms: 1x + 8x = 9x -10 + 9x = 8 + -8x + 8x Combine like terms: -8x + 8x = 0 -10 + 9x = 8 + 0 -10 + 9x = 8 Add '10' to each side of the equation. -10 + 10 + 9x = 8 + 10 Combine like terms: -10 + 10 = 0 0 + 9x = 8 + 10 9x = 8 + 10 Combine like terms: 8 + 10 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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