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