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Simplifying 4(x + 9) = 7x + -9 Reorder the terms: 4(9 + x) = 7x + -9 (9 * 4 + x * 4) = 7x + -9 (36 + 4x) = 7x + -9 Reorder the terms: 36 + 4x = -9 + 7x Solving 36 + 4x = -9 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 36 + 4x + -7x = -9 + 7x + -7x Combine like terms: 4x + -7x = -3x 36 + -3x = -9 + 7x + -7x Combine like terms: 7x + -7x = 0 36 + -3x = -9 + 0 36 + -3x = -9 Add '-36' to each side of the equation. 36 + -36 + -3x = -9 + -36 Combine like terms: 36 + -36 = 0 0 + -3x = -9 + -36 -3x = -9 + -36 Combine like terms: -9 + -36 = -45 -3x = -45 Divide each side by '-3'. x = 15 Simplifying x = 15
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