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