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Simplifying 4x + -7 = 11(x + -7) Reorder the terms: -7 + 4x = 11(x + -7) Reorder the terms: -7 + 4x = 11(-7 + x) -7 + 4x = (-7 * 11 + x * 11) -7 + 4x = (-77 + 11x) Solving -7 + 4x = -77 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -7 + 4x + -11x = -77 + 11x + -11x Combine like terms: 4x + -11x = -7x -7 + -7x = -77 + 11x + -11x Combine like terms: 11x + -11x = 0 -7 + -7x = -77 + 0 -7 + -7x = -77 Add '7' to each side of the equation. -7 + 7 + -7x = -77 + 7 Combine like terms: -7 + 7 = 0 0 + -7x = -77 + 7 -7x = -77 + 7 Combine like terms: -77 + 7 = -70 -7x = -70 Divide each side by '-7'. x = 10 Simplifying x = 10
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