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Simplifying 2(3x + -5) + 1 = (-4x + 5) + (7x + -8) Reorder the terms: 2(-5 + 3x) + 1 = (-4x + 5) + (7x + -8) (-5 * 2 + 3x * 2) + 1 = (-4x + 5) + (7x + -8) (-10 + 6x) + 1 = (-4x + 5) + (7x + -8) Reorder the terms: -10 + 1 + 6x = (-4x + 5) + (7x + -8) Combine like terms: -10 + 1 = -9 -9 + 6x = (-4x + 5) + (7x + -8) Reorder the terms: -9 + 6x = (5 + -4x) + (7x + -8) Remove parenthesis around (5 + -4x) -9 + 6x = 5 + -4x + (7x + -8) Reorder the terms: -9 + 6x = 5 + -4x + (-8 + 7x) Remove parenthesis around (-8 + 7x) -9 + 6x = 5 + -4x + -8 + 7x Reorder the terms: -9 + 6x = 5 + -8 + -4x + 7x Combine like terms: 5 + -8 = -3 -9 + 6x = -3 + -4x + 7x Combine like terms: -4x + 7x = 3x -9 + 6x = -3 + 3x Solving -9 + 6x = -3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -9 + 6x + -3x = -3 + 3x + -3x Combine like terms: 6x + -3x = 3x -9 + 3x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + 3x = -3 + 0 -9 + 3x = -3 Add '9' to each side of the equation. -9 + 9 + 3x = -3 + 9 Combine like terms: -9 + 9 = 0 0 + 3x = -3 + 9 3x = -3 + 9 Combine like terms: -3 + 9 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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