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Simplifying 4(x + 7) = 9x + 48 Reorder the terms: 4(7 + x) = 9x + 48 (7 * 4 + x * 4) = 9x + 48 (28 + 4x) = 9x + 48 Reorder the terms: 28 + 4x = 48 + 9x Solving 28 + 4x = 48 + 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. 28 + 4x + -9x = 48 + 9x + -9x Combine like terms: 4x + -9x = -5x 28 + -5x = 48 + 9x + -9x Combine like terms: 9x + -9x = 0 28 + -5x = 48 + 0 28 + -5x = 48 Add '-28' to each side of the equation. 28 + -28 + -5x = 48 + -28 Combine like terms: 28 + -28 = 0 0 + -5x = 48 + -28 -5x = 48 + -28 Combine like terms: 48 + -28 = 20 -5x = 20 Divide each side by '-5'. x = -4 Simplifying x = -4
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