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Simplifying x + -1(6x + 3) + -1(2x + 4) = 8x + (2x + -2) Reorder the terms: x + -1(3 + 6x) + -1(2x + 4) = 8x + (2x + -2) x + (3 * -1 + 6x * -1) + -1(2x + 4) = 8x + (2x + -2) x + (-3 + -6x) + -1(2x + 4) = 8x + (2x + -2) Reorder the terms: x + -3 + -6x + -1(4 + 2x) = 8x + (2x + -2) x + -3 + -6x + (4 * -1 + 2x * -1) = 8x + (2x + -2) x + -3 + -6x + (-4 + -2x) = 8x + (2x + -2) Reorder the terms: -3 + -4 + x + -6x + -2x = 8x + (2x + -2) Combine like terms: -3 + -4 = -7 -7 + x + -6x + -2x = 8x + (2x + -2) Combine like terms: x + -6x = -5x -7 + -5x + -2x = 8x + (2x + -2) Combine like terms: -5x + -2x = -7x -7 + -7x = 8x + (2x + -2) Reorder the terms: -7 + -7x = 8x + (-2 + 2x) Remove parenthesis around (-2 + 2x) -7 + -7x = 8x + -2 + 2x Reorder the terms: -7 + -7x = -2 + 8x + 2x Combine like terms: 8x + 2x = 10x -7 + -7x = -2 + 10x Solving -7 + -7x = -2 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -7 + -7x + -10x = -2 + 10x + -10x Combine like terms: -7x + -10x = -17x -7 + -17x = -2 + 10x + -10x Combine like terms: 10x + -10x = 0 -7 + -17x = -2 + 0 -7 + -17x = -2 Add '7' to each side of the equation. -7 + 7 + -17x = -2 + 7 Combine like terms: -7 + 7 = 0 0 + -17x = -2 + 7 -17x = -2 + 7 Combine like terms: -2 + 7 = 5 -17x = 5 Divide each side by '-17'. x = -0.2941176471 Simplifying x = -0.2941176471
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