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Simplifying 5x + 44 = 7(x + 4) Reorder the terms: 44 + 5x = 7(x + 4) Reorder the terms: 44 + 5x = 7(4 + x) 44 + 5x = (4 * 7 + x * 7) 44 + 5x = (28 + 7x) Solving 44 + 5x = 28 + 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. 44 + 5x + -7x = 28 + 7x + -7x Combine like terms: 5x + -7x = -2x 44 + -2x = 28 + 7x + -7x Combine like terms: 7x + -7x = 0 44 + -2x = 28 + 0 44 + -2x = 28 Add '-44' to each side of the equation. 44 + -44 + -2x = 28 + -44 Combine like terms: 44 + -44 = 0 0 + -2x = 28 + -44 -2x = 28 + -44 Combine like terms: 28 + -44 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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