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Simplifying 4x + -1(3 + 5x) = 27 + 2x 4x + (3 * -1 + 5x * -1) = 27 + 2x 4x + (-3 + -5x) = 27 + 2x Reorder the terms: -3 + 4x + -5x = 27 + 2x Combine like terms: 4x + -5x = -1x -3 + -1x = 27 + 2x Solving -3 + -1x = 27 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -3 + -1x + -2x = 27 + 2x + -2x Combine like terms: -1x + -2x = -3x -3 + -3x = 27 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + -3x = 27 + 0 -3 + -3x = 27 Add '3' to each side of the equation. -3 + 3 + -3x = 27 + 3 Combine like terms: -3 + 3 = 0 0 + -3x = 27 + 3 -3x = 27 + 3 Combine like terms: 27 + 3 = 30 -3x = 30 Divide each side by '-3'. x = -10 Simplifying x = -10
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