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Simplifying 7(x + -1) = -4x + 114 Reorder the terms: 7(-1 + x) = -4x + 114 (-1 * 7 + x * 7) = -4x + 114 (-7 + 7x) = -4x + 114 Reorder the terms: -7 + 7x = 114 + -4x Solving -7 + 7x = 114 + -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. -7 + 7x + 4x = 114 + -4x + 4x Combine like terms: 7x + 4x = 11x -7 + 11x = 114 + -4x + 4x Combine like terms: -4x + 4x = 0 -7 + 11x = 114 + 0 -7 + 11x = 114 Add '7' to each side of the equation. -7 + 7 + 11x = 114 + 7 Combine like terms: -7 + 7 = 0 0 + 11x = 114 + 7 11x = 114 + 7 Combine like terms: 114 + 7 = 121 11x = 121 Divide each side by '11'. x = 11 Simplifying x = 11
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