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Simplifying 2(x + 4) + -1(3x + 13) = 10x + -5 Reorder the terms: 2(4 + x) + -1(3x + 13) = 10x + -5 (4 * 2 + x * 2) + -1(3x + 13) = 10x + -5 (8 + 2x) + -1(3x + 13) = 10x + -5 Reorder the terms: 8 + 2x + -1(13 + 3x) = 10x + -5 8 + 2x + (13 * -1 + 3x * -1) = 10x + -5 8 + 2x + (-13 + -3x) = 10x + -5 Reorder the terms: 8 + -13 + 2x + -3x = 10x + -5 Combine like terms: 8 + -13 = -5 -5 + 2x + -3x = 10x + -5 Combine like terms: 2x + -3x = -1x -5 + -1x = 10x + -5 Reorder the terms: -5 + -1x = -5 + 10x Add '5' to each side of the equation. -5 + 5 + -1x = -5 + 5 + 10x Combine like terms: -5 + 5 = 0 0 + -1x = -5 + 5 + 10x -1x = -5 + 5 + 10x Combine like terms: -5 + 5 = 0 -1x = 0 + 10x -1x = 10x Solving -1x = 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. -1x + -10x = 10x + -10x Combine like terms: -1x + -10x = -11x -11x = 10x + -10x Combine like terms: 10x + -10x = 0 -11x = 0 Divide each side by '-11'. x = 0 Simplifying x = 0
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