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Simplifying 2x + -3 + (4x + 2) + -1(8x + -10) = 4 + 3x + -1(6x + 5) Reorder the terms: 2x + -3 + (2 + 4x) + -1(8x + -10) = 4 + 3x + -1(6x + 5) Remove parenthesis around (2 + 4x) 2x + -3 + 2 + 4x + -1(8x + -10) = 4 + 3x + -1(6x + 5) Reorder the terms: 2x + -3 + 2 + 4x + -1(-10 + 8x) = 4 + 3x + -1(6x + 5) 2x + -3 + 2 + 4x + (-10 * -1 + 8x * -1) = 4 + 3x + -1(6x + 5) 2x + -3 + 2 + 4x + (10 + -8x) = 4 + 3x + -1(6x + 5) Reorder the terms: -3 + 2 + 10 + 2x + 4x + -8x = 4 + 3x + -1(6x + 5) Combine like terms: -3 + 2 = -1 -1 + 10 + 2x + 4x + -8x = 4 + 3x + -1(6x + 5) Combine like terms: -1 + 10 = 9 9 + 2x + 4x + -8x = 4 + 3x + -1(6x + 5) Combine like terms: 2x + 4x = 6x 9 + 6x + -8x = 4 + 3x + -1(6x + 5) Combine like terms: 6x + -8x = -2x 9 + -2x = 4 + 3x + -1(6x + 5) Reorder the terms: 9 + -2x = 4 + 3x + -1(5 + 6x) 9 + -2x = 4 + 3x + (5 * -1 + 6x * -1) 9 + -2x = 4 + 3x + (-5 + -6x) Reorder the terms: 9 + -2x = 4 + -5 + 3x + -6x Combine like terms: 4 + -5 = -1 9 + -2x = -1 + 3x + -6x Combine like terms: 3x + -6x = -3x 9 + -2x = -1 + -3x Solving 9 + -2x = -1 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 9 + -2x + 3x = -1 + -3x + 3x Combine like terms: -2x + 3x = 1x 9 + 1x = -1 + -3x + 3x Combine like terms: -3x + 3x = 0 9 + 1x = -1 + 0 9 + 1x = -1 Add '-9' to each side of the equation. 9 + -9 + 1x = -1 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = -1 + -9 1x = -1 + -9 Combine like terms: -1 + -9 = -10 1x = -10 Divide each side by '1'. x = -10 Simplifying x = -10
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