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Simplifying 2(x + -4) + 27 = 3(3 + -1x) Reorder the terms: 2(-4 + x) + 27 = 3(3 + -1x) (-4 * 2 + x * 2) + 27 = 3(3 + -1x) (-8 + 2x) + 27 = 3(3 + -1x) Reorder the terms: -8 + 27 + 2x = 3(3 + -1x) Combine like terms: -8 + 27 = 19 19 + 2x = 3(3 + -1x) 19 + 2x = (3 * 3 + -1x * 3) 19 + 2x = (9 + -3x) Solving 19 + 2x = 9 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 19 + 2x + 3x = 9 + -3x + 3x Combine like terms: 2x + 3x = 5x 19 + 5x = 9 + -3x + 3x Combine like terms: -3x + 3x = 0 19 + 5x = 9 + 0 19 + 5x = 9 Add '-19' to each side of the equation. 19 + -19 + 5x = 9 + -19 Combine like terms: 19 + -19 = 0 0 + 5x = 9 + -19 5x = 9 + -19 Combine like terms: 9 + -19 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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