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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 = -2 -2 + 9x = -2 + -4x + -6x Combine like terms: -4x + -6x = -10x -2 + 9x = -2 + -10x Add '2' to each side of the equation. -2 + 2 + 9x = -2 + 2 + -10x Combine like terms: -2 + 2 = 0 0 + 9x = -2 + 2 + -10x 9x = -2 + 2 + -10x Combine like terms: -2 + 2 = 0 9x = 0 + -10x 9x = -10x Solving 9x = -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 9x + 10x = -10x + 10x Combine like terms: 9x + 10x = 19x 19x = -10x + 10x Combine like terms: -10x + 10x = 0 19x = 0 Divide each side by '19'. x = 0 Simplifying x = 0
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