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Simplifying 3x + 5 + -1(2x + 10) = 3 + -4x + -1(-2x + 9) Reorder the terms: 3x + 5 + -1(10 + 2x) = 3 + -4x + -1(-2x + 9) 3x + 5 + (10 * -1 + 2x * -1) = 3 + -4x + -1(-2x + 9) 3x + 5 + (-10 + -2x) = 3 + -4x + -1(-2x + 9) Reorder the terms: 5 + -10 + 3x + -2x = 3 + -4x + -1(-2x + 9) Combine like terms: 5 + -10 = -5 -5 + 3x + -2x = 3 + -4x + -1(-2x + 9) Combine like terms: 3x + -2x = 1x -5 + 1x = 3 + -4x + -1(-2x + 9) Reorder the terms: -5 + 1x = 3 + -4x + -1(9 + -2x) -5 + 1x = 3 + -4x + (9 * -1 + -2x * -1) -5 + 1x = 3 + -4x + (-9 + 2x) Reorder the terms: -5 + 1x = 3 + -9 + -4x + 2x Combine like terms: 3 + -9 = -6 -5 + 1x = -6 + -4x + 2x Combine like terms: -4x + 2x = -2x -5 + 1x = -6 + -2x Solving -5 + 1x = -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. -5 + 1x + 2x = -6 + -2x + 2x Combine like terms: 1x + 2x = 3x -5 + 3x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 -5 + 3x = -6 + 0 -5 + 3x = -6 Add '5' to each side of the equation. -5 + 5 + 3x = -6 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = -6 + 5 3x = -6 + 5 Combine like terms: -6 + 5 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333
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