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Simplifying 10x + 9 + -11x = x + -2(2x + 4) + -3(2x + -2) Reorder the terms: 9 + 10x + -11x = x + -2(2x + 4) + -3(2x + -2) Combine like terms: 10x + -11x = -1x 9 + -1x = x + -2(2x + 4) + -3(2x + -2) Reorder the terms: 9 + -1x = x + -2(4 + 2x) + -3(2x + -2) 9 + -1x = x + (4 * -2 + 2x * -2) + -3(2x + -2) 9 + -1x = x + (-8 + -4x) + -3(2x + -2) Reorder the terms: 9 + -1x = x + -8 + -4x + -3(-2 + 2x) 9 + -1x = x + -8 + -4x + (-2 * -3 + 2x * -3) 9 + -1x = x + -8 + -4x + (6 + -6x) Reorder the terms: 9 + -1x = -8 + 6 + x + -4x + -6x Combine like terms: -8 + 6 = -2 9 + -1x = -2 + x + -4x + -6x Combine like terms: x + -4x = -3x 9 + -1x = -2 + -3x + -6x Combine like terms: -3x + -6x = -9x 9 + -1x = -2 + -9x Solving 9 + -1x = -2 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 9 + -1x + 9x = -2 + -9x + 9x Combine like terms: -1x + 9x = 8x 9 + 8x = -2 + -9x + 9x Combine like terms: -9x + 9x = 0 9 + 8x = -2 + 0 9 + 8x = -2 Add '-9' to each side of the equation. 9 + -9 + 8x = -2 + -9 Combine like terms: 9 + -9 = 0 0 + 8x = -2 + -9 8x = -2 + -9 Combine like terms: -2 + -9 = -11 8x = -11 Divide each side by '8'. x = -1.375 Simplifying x = -1.375
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