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Simplifying 5 + 11x + -2(2x + 4) + -3x = 10x + 9 Reorder the terms: 5 + 11x + -2(4 + 2x) + -3x = 10x + 9 5 + 11x + (4 * -2 + 2x * -2) + -3x = 10x + 9 5 + 11x + (-8 + -4x) + -3x = 10x + 9 Reorder the terms: 5 + -8 + 11x + -4x + -3x = 10x + 9 Combine like terms: 5 + -8 = -3 -3 + 11x + -4x + -3x = 10x + 9 Combine like terms: 11x + -4x = 7x -3 + 7x + -3x = 10x + 9 Combine like terms: 7x + -3x = 4x -3 + 4x = 10x + 9 Reorder the terms: -3 + 4x = 9 + 10x Solving -3 + 4x = 9 + 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. -3 + 4x + -10x = 9 + 10x + -10x Combine like terms: 4x + -10x = -6x -3 + -6x = 9 + 10x + -10x Combine like terms: 10x + -10x = 0 -3 + -6x = 9 + 0 -3 + -6x = 9 Add '3' to each side of the equation. -3 + 3 + -6x = 9 + 3 Combine like terms: -3 + 3 = 0 0 + -6x = 9 + 3 -6x = 9 + 3 Combine like terms: 9 + 3 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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