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Simplifying (2x + -5) + -1(7 + 5x) = (3x + -19) + -1(16 + -1x) Reorder the terms: (-5 + 2x) + -1(7 + 5x) = (3x + -19) + -1(16 + -1x) Remove parenthesis around (-5 + 2x) -5 + 2x + -1(7 + 5x) = (3x + -19) + -1(16 + -1x) -5 + 2x + (7 * -1 + 5x * -1) = (3x + -19) + -1(16 + -1x) -5 + 2x + (-7 + -5x) = (3x + -19) + -1(16 + -1x) Reorder the terms: -5 + -7 + 2x + -5x = (3x + -19) + -1(16 + -1x) Combine like terms: -5 + -7 = -12 -12 + 2x + -5x = (3x + -19) + -1(16 + -1x) Combine like terms: 2x + -5x = -3x -12 + -3x = (3x + -19) + -1(16 + -1x) Reorder the terms: -12 + -3x = (-19 + 3x) + -1(16 + -1x) Remove parenthesis around (-19 + 3x) -12 + -3x = -19 + 3x + -1(16 + -1x) -12 + -3x = -19 + 3x + (16 * -1 + -1x * -1) -12 + -3x = -19 + 3x + (-16 + 1x) Reorder the terms: -12 + -3x = -19 + -16 + 3x + 1x Combine like terms: -19 + -16 = -35 -12 + -3x = -35 + 3x + 1x Combine like terms: 3x + 1x = 4x -12 + -3x = -35 + 4x Solving -12 + -3x = -35 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -12 + -3x + -4x = -35 + 4x + -4x Combine like terms: -3x + -4x = -7x -12 + -7x = -35 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + -7x = -35 + 0 -12 + -7x = -35 Add '12' to each side of the equation. -12 + 12 + -7x = -35 + 12 Combine like terms: -12 + 12 = 0 0 + -7x = -35 + 12 -7x = -35 + 12 Combine like terms: -35 + 12 = -23 -7x = -23 Divide each side by '-7'. x = 3.285714286 Simplifying x = 3.285714286
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