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Simplifying 4x + 7(x + -5) = 4(x + -7) Reorder the terms: 4x + 7(-5 + x) = 4(x + -7) 4x + (-5 * 7 + x * 7) = 4(x + -7) 4x + (-35 + 7x) = 4(x + -7) Reorder the terms: -35 + 4x + 7x = 4(x + -7) Combine like terms: 4x + 7x = 11x -35 + 11x = 4(x + -7) Reorder the terms: -35 + 11x = 4(-7 + x) -35 + 11x = (-7 * 4 + x * 4) -35 + 11x = (-28 + 4x) Solving -35 + 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. -35 + 11x + -4x = -28 + 4x + -4x Combine like terms: 11x + -4x = 7x -35 + 7x = -28 + 4x + -4x Combine like terms: 4x + -4x = 0 -35 + 7x = -28 + 0 -35 + 7x = -28 Add '35' to each side of the equation. -35 + 35 + 7x = -28 + 35 Combine like terms: -35 + 35 = 0 0 + 7x = -28 + 35 7x = -28 + 35 Combine like terms: -28 + 35 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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