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Simplifying 4(x + -3) + -1(2x + 5) = -3x + -27 Reorder the terms: 4(-3 + x) + -1(2x + 5) = -3x + -27 (-3 * 4 + x * 4) + -1(2x + 5) = -3x + -27 (-12 + 4x) + -1(2x + 5) = -3x + -27 Reorder the terms: -12 + 4x + -1(5 + 2x) = -3x + -27 -12 + 4x + (5 * -1 + 2x * -1) = -3x + -27 -12 + 4x + (-5 + -2x) = -3x + -27 Reorder the terms: -12 + -5 + 4x + -2x = -3x + -27 Combine like terms: -12 + -5 = -17 -17 + 4x + -2x = -3x + -27 Combine like terms: 4x + -2x = 2x -17 + 2x = -3x + -27 Reorder the terms: -17 + 2x = -27 + -3x Solving -17 + 2x = -27 + -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. -17 + 2x + 3x = -27 + -3x + 3x Combine like terms: 2x + 3x = 5x -17 + 5x = -27 + -3x + 3x Combine like terms: -3x + 3x = 0 -17 + 5x = -27 + 0 -17 + 5x = -27 Add '17' to each side of the equation. -17 + 17 + 5x = -27 + 17 Combine like terms: -17 + 17 = 0 0 + 5x = -27 + 17 5x = -27 + 17 Combine like terms: -27 + 17 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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