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Simplifying 5x + -1(8x + 4) + 10x = -2(x + 1) Reorder the terms: 5x + -1(4 + 8x) + 10x = -2(x + 1) 5x + (4 * -1 + 8x * -1) + 10x = -2(x + 1) 5x + (-4 + -8x) + 10x = -2(x + 1) Reorder the terms: -4 + 5x + -8x + 10x = -2(x + 1) Combine like terms: 5x + -8x = -3x -4 + -3x + 10x = -2(x + 1) Combine like terms: -3x + 10x = 7x -4 + 7x = -2(x + 1) Reorder the terms: -4 + 7x = -2(1 + x) -4 + 7x = (1 * -2 + x * -2) -4 + 7x = (-2 + -2x) Solving -4 + 7x = -2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -4 + 7x + 2x = -2 + -2x + 2x Combine like terms: 7x + 2x = 9x -4 + 9x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 -4 + 9x = -2 + 0 -4 + 9x = -2 Add '4' to each side of the equation. -4 + 4 + 9x = -2 + 4 Combine like terms: -4 + 4 = 0 0 + 9x = -2 + 4 9x = -2 + 4 Combine like terms: -2 + 4 = 2 9x = 2 Divide each side by '9'. x = 0.2222222222 Simplifying x = 0.2222222222
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