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Simplifying 27 + -3(x + 1) = 10x + -1(x + -4) Reorder the terms: 27 + -3(1 + x) = 10x + -1(x + -4) 27 + (1 * -3 + x * -3) = 10x + -1(x + -4) 27 + (-3 + -3x) = 10x + -1(x + -4) Combine like terms: 27 + -3 = 24 24 + -3x = 10x + -1(x + -4) Reorder the terms: 24 + -3x = 10x + -1(-4 + x) 24 + -3x = 10x + (-4 * -1 + x * -1) 24 + -3x = 10x + (4 + -1x) Reorder the terms: 24 + -3x = 4 + 10x + -1x Combine like terms: 10x + -1x = 9x 24 + -3x = 4 + 9x Solving 24 + -3x = 4 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 24 + -3x + -9x = 4 + 9x + -9x Combine like terms: -3x + -9x = -12x 24 + -12x = 4 + 9x + -9x Combine like terms: 9x + -9x = 0 24 + -12x = 4 + 0 24 + -12x = 4 Add '-24' to each side of the equation. 24 + -24 + -12x = 4 + -24 Combine like terms: 24 + -24 = 0 0 + -12x = 4 + -24 -12x = 4 + -24 Combine like terms: 4 + -24 = -20 -12x = -20 Divide each side by '-12'. x = 1.666666667 Simplifying x = 1.666666667
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