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Simplifying 7(5x + -1x) = 7(x + -11) Combine like terms: 5x + -1x = 4x 7(4x) = 7(x + -11) Remove parenthesis around (4x) 7 * 4x = 7(x + -11) Multiply 7 * 4 28x = 7(x + -11) Reorder the terms: 28x = 7(-11 + x) 28x = (-11 * 7 + x * 7) 28x = (-77 + 7x) Solving 28x = -77 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 28x + -7x = -77 + 7x + -7x Combine like terms: 28x + -7x = 21x 21x = -77 + 7x + -7x Combine like terms: 7x + -7x = 0 21x = -77 + 0 21x = -77 Divide each side by '21'. x = -3.666666667 Simplifying x = -3.666666667
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