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Simplifying (2x + 5) + -1(5x + 4) = 6 + -2(x + -3) Reorder the terms: (5 + 2x) + -1(5x + 4) = 6 + -2(x + -3) Remove parenthesis around (5 + 2x) 5 + 2x + -1(5x + 4) = 6 + -2(x + -3) Reorder the terms: 5 + 2x + -1(4 + 5x) = 6 + -2(x + -3) 5 + 2x + (4 * -1 + 5x * -1) = 6 + -2(x + -3) 5 + 2x + (-4 + -5x) = 6 + -2(x + -3) Reorder the terms: 5 + -4 + 2x + -5x = 6 + -2(x + -3) Combine like terms: 5 + -4 = 1 1 + 2x + -5x = 6 + -2(x + -3) Combine like terms: 2x + -5x = -3x 1 + -3x = 6 + -2(x + -3) Reorder the terms: 1 + -3x = 6 + -2(-3 + x) 1 + -3x = 6 + (-3 * -2 + x * -2) 1 + -3x = 6 + (6 + -2x) Combine like terms: 6 + 6 = 12 1 + -3x = 12 + -2x Solving 1 + -3x = 12 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 1 + -3x + 2x = 12 + -2x + 2x Combine like terms: -3x + 2x = -1x 1 + -1x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 1 + -1x = 12 + 0 1 + -1x = 12 Add '-1' to each side of the equation. 1 + -1 + -1x = 12 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 12 + -1 -1x = 12 + -1 Combine like terms: 12 + -1 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11
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