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Simplifying 27 + -3(x + 1) = 10x + -3(x + -4) Reorder the terms: 27 + -3(1 + x) = 10x + -3(x + -4) 27 + (1 * -3 + x * -3) = 10x + -3(x + -4) 27 + (-3 + -3x) = 10x + -3(x + -4) Combine like terms: 27 + -3 = 24 24 + -3x = 10x + -3(x + -4) Reorder the terms: 24 + -3x = 10x + -3(-4 + x) 24 + -3x = 10x + (-4 * -3 + x * -3) 24 + -3x = 10x + (12 + -3x) Reorder the terms: 24 + -3x = 12 + 10x + -3x Combine like terms: 10x + -3x = 7x 24 + -3x = 12 + 7x Solving 24 + -3x = 12 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 24 + -3x + -7x = 12 + 7x + -7x Combine like terms: -3x + -7x = -10x 24 + -10x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 24 + -10x = 12 + 0 24 + -10x = 12 Add '-24' to each side of the equation. 24 + -24 + -10x = 12 + -24 Combine like terms: 24 + -24 = 0 0 + -10x = 12 + -24 -10x = 12 + -24 Combine like terms: 12 + -24 = -12 -10x = -12 Divide each side by '-10'. x = 1.2 Simplifying x = 1.2
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