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Simplifying 11x + 7 = 4(x + -7) Reorder the terms: 7 + 11x = 4(x + -7) Reorder the terms: 7 + 11x = 4(-7 + x) 7 + 11x = (-7 * 4 + x * 4) 7 + 11x = (-28 + 4x) Solving 7 + 11x = -28 + 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 + 11x + -4x = -28 + 4x + -4x Combine like terms: 11x + -4x = 7x 7 + 7x = -28 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + 7x = -28 + 0 7 + 7x = -28 Add '-7' to each side of the equation. 7 + -7 + 7x = -28 + -7 Combine like terms: 7 + -7 = 0 0 + 7x = -28 + -7 7x = -28 + -7 Combine like terms: -28 + -7 = -35 7x = -35 Divide each side by '7'. x = -5 Simplifying x = -5
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