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Simplifying (12x + -11) + -1(8 + 3x) = 10x Reorder the terms: (-11 + 12x) + -1(8 + 3x) = 10x Remove parenthesis around (-11 + 12x) -11 + 12x + -1(8 + 3x) = 10x -11 + 12x + (8 * -1 + 3x * -1) = 10x -11 + 12x + (-8 + -3x) = 10x Reorder the terms: -11 + -8 + 12x + -3x = 10x Combine like terms: -11 + -8 = -19 -19 + 12x + -3x = 10x Combine like terms: 12x + -3x = 9x -19 + 9x = 10x Solving -19 + 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. -19 + 9x + -10x = 10x + -10x Combine like terms: 9x + -10x = -1x -19 + -1x = 10x + -10x Combine like terms: 10x + -10x = 0 -19 + -1x = 0 Add '19' to each side of the equation. -19 + 19 + -1x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -1x = 0 + 19 -1x = 0 + 19 Combine like terms: 0 + 19 = 19 -1x = 19 Divide each side by '-1'. x = -19 Simplifying x = -19
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