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Simplifying 5x + 7 = 9(x + -5) Reorder the terms: 7 + 5x = 9(x + -5) Reorder the terms: 7 + 5x = 9(-5 + x) 7 + 5x = (-5 * 9 + x * 9) 7 + 5x = (-45 + 9x) Solving 7 + 5x = -45 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 7 + 5x + -9x = -45 + 9x + -9x Combine like terms: 5x + -9x = -4x 7 + -4x = -45 + 9x + -9x Combine like terms: 9x + -9x = 0 7 + -4x = -45 + 0 7 + -4x = -45 Add '-7' to each side of the equation. 7 + -7 + -4x = -45 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = -45 + -7 -4x = -45 + -7 Combine like terms: -45 + -7 = -52 -4x = -52 Divide each side by '-4'. x = 13 Simplifying x = 13
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