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Simplifying 10x + 9 + -11 + -1x = -2(2x + 4) + 3(2x + -2) Reorder the terms: 9 + -11 + 10x + -1x = -2(2x + 4) + 3(2x + -2) Combine like terms: 9 + -11 = -2 -2 + 10x + -1x = -2(2x + 4) + 3(2x + -2) Combine like terms: 10x + -1x = 9x -2 + 9x = -2(2x + 4) + 3(2x + -2) Reorder the terms: -2 + 9x = -2(4 + 2x) + 3(2x + -2) -2 + 9x = (4 * -2 + 2x * -2) + 3(2x + -2) -2 + 9x = (-8 + -4x) + 3(2x + -2) Reorder the terms: -2 + 9x = -8 + -4x + 3(-2 + 2x) -2 + 9x = -8 + -4x + (-2 * 3 + 2x * 3) -2 + 9x = -8 + -4x + (-6 + 6x) Reorder the terms: -2 + 9x = -8 + -6 + -4x + 6x Combine like terms: -8 + -6 = -14 -2 + 9x = -14 + -4x + 6x Combine like terms: -4x + 6x = 2x -2 + 9x = -14 + 2x Solving -2 + 9x = -14 + 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. -2 + 9x + -2x = -14 + 2x + -2x Combine like terms: 9x + -2x = 7x -2 + 7x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 7x = -14 + 0 -2 + 7x = -14 Add '2' to each side of the equation. -2 + 2 + 7x = -14 + 2 Combine like terms: -2 + 2 = 0 0 + 7x = -14 + 2 7x = -14 + 2 Combine like terms: -14 + 2 = -12 7x = -12 Divide each side by '7'. x = -1.714285714 Simplifying x = -1.714285714
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