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Simplifying 3(6 + -4x) + -27y = 10x + -31 (6 * 3 + -4x * 3) + -27y = 10x + -31 (18 + -12x) + -27y = 10x + -31 Reorder the terms: 18 + -12x + -27y = -31 + 10x Solving 18 + -12x + -27y = -31 + 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. 18 + -12x + -10x + -27y = -31 + 10x + -10x Combine like terms: -12x + -10x = -22x 18 + -22x + -27y = -31 + 10x + -10x Combine like terms: 10x + -10x = 0 18 + -22x + -27y = -31 + 0 18 + -22x + -27y = -31 Add '-18' to each side of the equation. 18 + -22x + -18 + -27y = -31 + -18 Reorder the terms: 18 + -18 + -22x + -27y = -31 + -18 Combine like terms: 18 + -18 = 0 0 + -22x + -27y = -31 + -18 -22x + -27y = -31 + -18 Combine like terms: -31 + -18 = -49 -22x + -27y = -49 Add '27y' to each side of the equation. -22x + -27y + 27y = -49 + 27y Combine like terms: -27y + 27y = 0 -22x + 0 = -49 + 27y -22x = -49 + 27y Divide each side by '-22'. x = 2.227272727 + -1.227272727y Simplifying x = 2.227272727 + -1.227272727y
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