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Simplifying 14 + -41 = 4(x + -1) + -7 Combine like terms: 14 + -41 = -27 -27 = 4(x + -1) + -7 Reorder the terms: -27 = 4(-1 + x) + -7 -27 = (-1 * 4 + x * 4) + -7 -27 = (-4 + 4x) + -7 Reorder the terms: -27 = -4 + -7 + 4x Combine like terms: -4 + -7 = -11 -27 = -11 + 4x Solving -27 = -11 + 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. -27 + -4x = -11 + 4x + -4x Combine like terms: 4x + -4x = 0 -27 + -4x = -11 + 0 -27 + -4x = -11 Add '27' to each side of the equation. -27 + 27 + -4x = -11 + 27 Combine like terms: -27 + 27 = 0 0 + -4x = -11 + 27 -4x = -11 + 27 Combine like terms: -11 + 27 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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