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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 Solving -2 + 9x = 2 + 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. -2 + 9x + -10x = 2 + 10x + -10x Combine like terms: 9x + -10x = -1x -2 + -1x = 2 + 10x + -10x Combine like terms: 10x + -10x = 0 -2 + -1x = 2 + 0 -2 + -1x = 2 Add '2' to each side of the equation. -2 + 2 + -1x = 2 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 2 + 2 -1x = 2 + 2 Combine like terms: 2 + 2 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4
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