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Simplifying 3x + -5(1 + -1x) = x + -2(x + 1) + 4 3x + (1 * -5 + -1x * -5) = x + -2(x + 1) + 4 3x + (-5 + 5x) = x + -2(x + 1) + 4 Reorder the terms: -5 + 3x + 5x = x + -2(x + 1) + 4 Combine like terms: 3x + 5x = 8x -5 + 8x = x + -2(x + 1) + 4 Reorder the terms: -5 + 8x = x + -2(1 + x) + 4 -5 + 8x = x + (1 * -2 + x * -2) + 4 -5 + 8x = x + (-2 + -2x) + 4 Reorder the terms: -5 + 8x = -2 + 4 + x + -2x Combine like terms: -2 + 4 = 2 -5 + 8x = 2 + x + -2x Combine like terms: x + -2x = -1x -5 + 8x = 2 + -1x Solving -5 + 8x = 2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -5 + 8x + x = 2 + -1x + x Combine like terms: 8x + x = 9x -5 + 9x = 2 + -1x + x Combine like terms: -1x + x = 0 -5 + 9x = 2 + 0 -5 + 9x = 2 Add '5' to each side of the equation. -5 + 5 + 9x = 2 + 5 Combine like terms: -5 + 5 = 0 0 + 9x = 2 + 5 9x = 2 + 5 Combine like terms: 2 + 5 = 7 9x = 7 Divide each side by '9'. x = 0.7777777778 Simplifying x = 0.7777777778
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