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Simplifying 10(6x + -11) + 8(1 + -6x) = -2x + -3x Reorder the terms: 10(-11 + 6x) + 8(1 + -6x) = -2x + -3x (-11 * 10 + 6x * 10) + 8(1 + -6x) = -2x + -3x (-110 + 60x) + 8(1 + -6x) = -2x + -3x -110 + 60x + (1 * 8 + -6x * 8) = -2x + -3x -110 + 60x + (8 + -48x) = -2x + -3x Reorder the terms: -110 + 8 + 60x + -48x = -2x + -3x Combine like terms: -110 + 8 = -102 -102 + 60x + -48x = -2x + -3x Combine like terms: 60x + -48x = 12x -102 + 12x = -2x + -3x Combine like terms: -2x + -3x = -5x -102 + 12x = -5x Solving -102 + 12x = -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -102 + 12x + 5x = -5x + 5x Combine like terms: 12x + 5x = 17x -102 + 17x = -5x + 5x Combine like terms: -5x + 5x = 0 -102 + 17x = 0 Add '102' to each side of the equation. -102 + 102 + 17x = 0 + 102 Combine like terms: -102 + 102 = 0 0 + 17x = 0 + 102 17x = 0 + 102 Combine like terms: 0 + 102 = 102 17x = 102 Divide each side by '17'. x = 6 Simplifying x = 6
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