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Simplifying 2x + -1(3x + -11) + (4x + 13) + -1(5x + -15) = 0 Reorder the terms: 2x + -1(-11 + 3x) + (4x + 13) + -1(5x + -15) = 0 2x + (-11 * -1 + 3x * -1) + (4x + 13) + -1(5x + -15) = 0 2x + (11 + -3x) + (4x + 13) + -1(5x + -15) = 0 Reorder the terms: 2x + 11 + -3x + (13 + 4x) + -1(5x + -15) = 0 Remove parenthesis around (13 + 4x) 2x + 11 + -3x + 13 + 4x + -1(5x + -15) = 0 Reorder the terms: 2x + 11 + -3x + 13 + 4x + -1(-15 + 5x) = 0 2x + 11 + -3x + 13 + 4x + (-15 * -1 + 5x * -1) = 0 2x + 11 + -3x + 13 + 4x + (15 + -5x) = 0 Reorder the terms: 11 + 13 + 15 + 2x + -3x + 4x + -5x = 0 Combine like terms: 11 + 13 = 24 24 + 15 + 2x + -3x + 4x + -5x = 0 Combine like terms: 24 + 15 = 39 39 + 2x + -3x + 4x + -5x = 0 Combine like terms: 2x + -3x = -1x 39 + -1x + 4x + -5x = 0 Combine like terms: -1x + 4x = 3x 39 + 3x + -5x = 0 Combine like terms: 3x + -5x = -2x 39 + -2x = 0 Solving 39 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + -2x = 0 + -39 Combine like terms: 39 + -39 = 0 0 + -2x = 0 + -39 -2x = 0 + -39 Combine like terms: 0 + -39 = -39 -2x = -39 Divide each side by '-2'. x = 19.5 Simplifying x = 19.5
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