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Simplifying 4(4x + 7) = 7x + 37 Reorder the terms: 4(7 + 4x) = 7x + 37 (7 * 4 + 4x * 4) = 7x + 37 (28 + 16x) = 7x + 37 Reorder the terms: 28 + 16x = 37 + 7x Solving 28 + 16x = 37 + 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. 28 + 16x + -7x = 37 + 7x + -7x Combine like terms: 16x + -7x = 9x 28 + 9x = 37 + 7x + -7x Combine like terms: 7x + -7x = 0 28 + 9x = 37 + 0 28 + 9x = 37 Add '-28' to each side of the equation. 28 + -28 + 9x = 37 + -28 Combine like terms: 28 + -28 = 0 0 + 9x = 37 + -28 9x = 37 + -28 Combine like terms: 37 + -28 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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