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Simplifying 2(2x + -5) + 1 = (3x + -1) + -2(x + -5) Reorder the terms: 2(-5 + 2x) + 1 = (3x + -1) + -2(x + -5) (-5 * 2 + 2x * 2) + 1 = (3x + -1) + -2(x + -5) (-10 + 4x) + 1 = (3x + -1) + -2(x + -5) Reorder the terms: -10 + 1 + 4x = (3x + -1) + -2(x + -5) Combine like terms: -10 + 1 = -9 -9 + 4x = (3x + -1) + -2(x + -5) Reorder the terms: -9 + 4x = (-1 + 3x) + -2(x + -5) Remove parenthesis around (-1 + 3x) -9 + 4x = -1 + 3x + -2(x + -5) Reorder the terms: -9 + 4x = -1 + 3x + -2(-5 + x) -9 + 4x = -1 + 3x + (-5 * -2 + x * -2) -9 + 4x = -1 + 3x + (10 + -2x) Reorder the terms: -9 + 4x = -1 + 10 + 3x + -2x Combine like terms: -1 + 10 = 9 -9 + 4x = 9 + 3x + -2x Combine like terms: 3x + -2x = 1x -9 + 4x = 9 + 1x Solving -9 + 4x = 9 + 1x 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. -9 + 4x + -1x = 9 + 1x + -1x Combine like terms: 4x + -1x = 3x -9 + 3x = 9 + 1x + -1x Combine like terms: 1x + -1x = 0 -9 + 3x = 9 + 0 -9 + 3x = 9 Add '9' to each side of the equation. -9 + 9 + 3x = 9 + 9 Combine like terms: -9 + 9 = 0 0 + 3x = 9 + 9 3x = 9 + 9 Combine like terms: 9 + 9 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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