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Simplifying 10 + -1(x + 5) + -1(2x + -1) + -1(3x + 4) = 2x + 10 Reorder the terms: 10 + -1(5 + x) + -1(2x + -1) + -1(3x + 4) = 2x + 10 10 + (5 * -1 + x * -1) + -1(2x + -1) + -1(3x + 4) = 2x + 10 10 + (-5 + -1x) + -1(2x + -1) + -1(3x + 4) = 2x + 10 Reorder the terms: 10 + -5 + -1x + -1(-1 + 2x) + -1(3x + 4) = 2x + 10 10 + -5 + -1x + (-1 * -1 + 2x * -1) + -1(3x + 4) = 2x + 10 10 + -5 + -1x + (1 + -2x) + -1(3x + 4) = 2x + 10 Reorder the terms: 10 + -5 + -1x + 1 + -2x + -1(4 + 3x) = 2x + 10 10 + -5 + -1x + 1 + -2x + (4 * -1 + 3x * -1) = 2x + 10 10 + -5 + -1x + 1 + -2x + (-4 + -3x) = 2x + 10 Reorder the terms: 10 + -5 + 1 + -4 + -1x + -2x + -3x = 2x + 10 Combine like terms: 10 + -5 = 5 5 + 1 + -4 + -1x + -2x + -3x = 2x + 10 Combine like terms: 5 + 1 = 6 6 + -4 + -1x + -2x + -3x = 2x + 10 Combine like terms: 6 + -4 = 2 2 + -1x + -2x + -3x = 2x + 10 Combine like terms: -1x + -2x = -3x 2 + -3x + -3x = 2x + 10 Combine like terms: -3x + -3x = -6x 2 + -6x = 2x + 10 Reorder the terms: 2 + -6x = 10 + 2x Solving 2 + -6x = 10 + 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. 2 + -6x + -2x = 10 + 2x + -2x Combine like terms: -6x + -2x = -8x 2 + -8x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + -8x = 10 + 0 2 + -8x = 10 Add '-2' to each side of the equation. 2 + -2 + -8x = 10 + -2 Combine like terms: 2 + -2 = 0 0 + -8x = 10 + -2 -8x = 10 + -2 Combine like terms: 10 + -2 = 8 -8x = 8 Divide each side by '-8'. x = -1 Simplifying x = -1
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