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Simplifying 4x = 52 + -1(x + 7) Reorder the terms: 4x = 52 + -1(7 + x) 4x = 52 + (7 * -1 + x * -1) 4x = 52 + (-7 + -1x) Combine like terms: 52 + -7 = 45 4x = 45 + -1x Solving 4x = 45 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 4x + x = 45 + -1x + x Combine like terms: 4x + x = 5x 5x = 45 + -1x + x Combine like terms: -1x + x = 0 5x = 45 + 0 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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