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Simplifying 2x + 3(x + -3) = 10x + -1(3x + -11) Reorder the terms: 2x + 3(-3 + x) = 10x + -1(3x + -11) 2x + (-3 * 3 + x * 3) = 10x + -1(3x + -11) 2x + (-9 + 3x) = 10x + -1(3x + -11) Reorder the terms: -9 + 2x + 3x = 10x + -1(3x + -11) Combine like terms: 2x + 3x = 5x -9 + 5x = 10x + -1(3x + -11) Reorder the terms: -9 + 5x = 10x + -1(-11 + 3x) -9 + 5x = 10x + (-11 * -1 + 3x * -1) -9 + 5x = 10x + (11 + -3x) Reorder the terms: -9 + 5x = 11 + 10x + -3x Combine like terms: 10x + -3x = 7x -9 + 5x = 11 + 7x Solving -9 + 5x = 11 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -9 + 5x + -7x = 11 + 7x + -7x Combine like terms: 5x + -7x = -2x -9 + -2x = 11 + 7x + -7x Combine like terms: 7x + -7x = 0 -9 + -2x = 11 + 0 -9 + -2x = 11 Add '9' to each side of the equation. -9 + 9 + -2x = 11 + 9 Combine like terms: -9 + 9 = 0 0 + -2x = 11 + 9 -2x = 11 + 9 Combine like terms: 11 + 9 = 20 -2x = 20 Divide each side by '-2'. x = -10 Simplifying x = -10
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