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Simplifying 5(2x + -1) + -1(3x + 4) = 4(x + 3) + -27 Reorder the terms: 5(-1 + 2x) + -1(3x + 4) = 4(x + 3) + -27 (-1 * 5 + 2x * 5) + -1(3x + 4) = 4(x + 3) + -27 (-5 + 10x) + -1(3x + 4) = 4(x + 3) + -27 Reorder the terms: -5 + 10x + -1(4 + 3x) = 4(x + 3) + -27 -5 + 10x + (4 * -1 + 3x * -1) = 4(x + 3) + -27 -5 + 10x + (-4 + -3x) = 4(x + 3) + -27 Reorder the terms: -5 + -4 + 10x + -3x = 4(x + 3) + -27 Combine like terms: -5 + -4 = -9 -9 + 10x + -3x = 4(x + 3) + -27 Combine like terms: 10x + -3x = 7x -9 + 7x = 4(x + 3) + -27 Reorder the terms: -9 + 7x = 4(3 + x) + -27 -9 + 7x = (3 * 4 + x * 4) + -27 -9 + 7x = (12 + 4x) + -27 Reorder the terms: -9 + 7x = 12 + -27 + 4x Combine like terms: 12 + -27 = -15 -9 + 7x = -15 + 4x Solving -9 + 7x = -15 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -9 + 7x + -4x = -15 + 4x + -4x Combine like terms: 7x + -4x = 3x -9 + 3x = -15 + 4x + -4x Combine like terms: 4x + -4x = 0 -9 + 3x = -15 + 0 -9 + 3x = -15 Add '9' to each side of the equation. -9 + 9 + 3x = -15 + 9 Combine like terms: -9 + 9 = 0 0 + 3x = -15 + 9 3x = -15 + 9 Combine like terms: -15 + 9 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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