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Simplifying 2(3x + -5) + -1x + -1(2x + -3) = 1 + -1(2x + -5) Reorder the terms: 2(-5 + 3x) + -1x + -1(2x + -3) = 1 + -1(2x + -5) (-5 * 2 + 3x * 2) + -1x + -1(2x + -3) = 1 + -1(2x + -5) (-10 + 6x) + -1x + -1(2x + -3) = 1 + -1(2x + -5) Reorder the terms: -10 + 6x + -1x + -1(-3 + 2x) = 1 + -1(2x + -5) -10 + 6x + -1x + (-3 * -1 + 2x * -1) = 1 + -1(2x + -5) -10 + 6x + -1x + (3 + -2x) = 1 + -1(2x + -5) Reorder the terms: -10 + 3 + 6x + -1x + -2x = 1 + -1(2x + -5) Combine like terms: -10 + 3 = -7 -7 + 6x + -1x + -2x = 1 + -1(2x + -5) Combine like terms: 6x + -1x = 5x -7 + 5x + -2x = 1 + -1(2x + -5) Combine like terms: 5x + -2x = 3x -7 + 3x = 1 + -1(2x + -5) Reorder the terms: -7 + 3x = 1 + -1(-5 + 2x) -7 + 3x = 1 + (-5 * -1 + 2x * -1) -7 + 3x = 1 + (5 + -2x) Combine like terms: 1 + 5 = 6 -7 + 3x = 6 + -2x Solving -7 + 3x = 6 + -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. -7 + 3x + 2x = 6 + -2x + 2x Combine like terms: 3x + 2x = 5x -7 + 5x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 -7 + 5x = 6 + 0 -7 + 5x = 6 Add '7' to each side of the equation. -7 + 7 + 5x = 6 + 7 Combine like terms: -7 + 7 = 0 0 + 5x = 6 + 7 5x = 6 + 7 Combine like terms: 6 + 7 = 13 5x = 13 Divide each side by '5'. x = 2.6 Simplifying x = 2.6
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