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Simplifying 27 + -3(x + 1) = 19x + -3(x + -4) Reorder the terms: 27 + -3(1 + x) = 19x + -3(x + -4) 27 + (1 * -3 + x * -3) = 19x + -3(x + -4) 27 + (-3 + -3x) = 19x + -3(x + -4) Combine like terms: 27 + -3 = 24 24 + -3x = 19x + -3(x + -4) Reorder the terms: 24 + -3x = 19x + -3(-4 + x) 24 + -3x = 19x + (-4 * -3 + x * -3) 24 + -3x = 19x + (12 + -3x) Reorder the terms: 24 + -3x = 12 + 19x + -3x Combine like terms: 19x + -3x = 16x 24 + -3x = 12 + 16x Solving 24 + -3x = 12 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 24 + -3x + -16x = 12 + 16x + -16x Combine like terms: -3x + -16x = -19x 24 + -19x = 12 + 16x + -16x Combine like terms: 16x + -16x = 0 24 + -19x = 12 + 0 24 + -19x = 12 Add '-24' to each side of the equation. 24 + -24 + -19x = 12 + -24 Combine like terms: 24 + -24 = 0 0 + -19x = 12 + -24 -19x = 12 + -24 Combine like terms: 12 + -24 = -12 -19x = -12 Divide each side by '-19'. x = 0.6315789474 Simplifying x = 0.6315789474
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