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Simplifying 27 + -4x = 4(x + -5) + -1x Reorder the terms: 27 + -4x = 4(-5 + x) + -1x 27 + -4x = (-5 * 4 + x * 4) + -1x 27 + -4x = (-20 + 4x) + -1x Combine like terms: 4x + -1x = 3x 27 + -4x = -20 + 3x Solving 27 + -4x = -20 + 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. 27 + -4x + -3x = -20 + 3x + -3x Combine like terms: -4x + -3x = -7x 27 + -7x = -20 + 3x + -3x Combine like terms: 3x + -3x = 0 27 + -7x = -20 + 0 27 + -7x = -20 Add '-27' to each side of the equation. 27 + -27 + -7x = -20 + -27 Combine like terms: 27 + -27 = 0 0 + -7x = -20 + -27 -7x = -20 + -27 Combine like terms: -20 + -27 = -47 -7x = -47 Divide each side by '-7'. x = 6.714285714 Simplifying x = 6.714285714
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