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Simplifying 2(4x + -5) + 1 = (3x + -1) + -2(x + -3) Reorder the terms: 2(-5 + 4x) + 1 = (3x + -1) + -2(x + -3) (-5 * 2 + 4x * 2) + 1 = (3x + -1) + -2(x + -3) (-10 + 8x) + 1 = (3x + -1) + -2(x + -3) Reorder the terms: -10 + 1 + 8x = (3x + -1) + -2(x + -3) Combine like terms: -10 + 1 = -9 -9 + 8x = (3x + -1) + -2(x + -3) Reorder the terms: -9 + 8x = (-1 + 3x) + -2(x + -3) Remove parenthesis around (-1 + 3x) -9 + 8x = -1 + 3x + -2(x + -3) Reorder the terms: -9 + 8x = -1 + 3x + -2(-3 + x) -9 + 8x = -1 + 3x + (-3 * -2 + x * -2) -9 + 8x = -1 + 3x + (6 + -2x) Reorder the terms: -9 + 8x = -1 + 6 + 3x + -2x Combine like terms: -1 + 6 = 5 -9 + 8x = 5 + 3x + -2x Combine like terms: 3x + -2x = 1x -9 + 8x = 5 + 1x Solving -9 + 8x = 5 + 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 + 8x + -1x = 5 + 1x + -1x Combine like terms: 8x + -1x = 7x -9 + 7x = 5 + 1x + -1x Combine like terms: 1x + -1x = 0 -9 + 7x = 5 + 0 -9 + 7x = 5 Add '9' to each side of the equation. -9 + 9 + 7x = 5 + 9 Combine like terms: -9 + 9 = 0 0 + 7x = 5 + 9 7x = 5 + 9 Combine like terms: 5 + 9 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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