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Simplifying -7(1 + 4x) + 5x = 27 + -6x (1 * -7 + 4x * -7) + 5x = 27 + -6x (-7 + -28x) + 5x = 27 + -6x Combine like terms: -28x + 5x = -23x -7 + -23x = 27 + -6x Solving -7 + -23x = 27 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -7 + -23x + 6x = 27 + -6x + 6x Combine like terms: -23x + 6x = -17x -7 + -17x = 27 + -6x + 6x Combine like terms: -6x + 6x = 0 -7 + -17x = 27 + 0 -7 + -17x = 27 Add '7' to each side of the equation. -7 + 7 + -17x = 27 + 7 Combine like terms: -7 + 7 = 0 0 + -17x = 27 + 7 -17x = 27 + 7 Combine like terms: 27 + 7 = 34 -17x = 34 Divide each side by '-17'. x = -2 Simplifying x = -2
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