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Simplifying 4x + 4 + 40 = 7x + 17 Reorder the terms: 4 + 40 + 4x = 7x + 17 Combine like terms: 4 + 40 = 44 44 + 4x = 7x + 17 Reorder the terms: 44 + 4x = 17 + 7x Solving 44 + 4x = 17 + 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 + 4x + -7x = 17 + 7x + -7x Combine like terms: 4x + -7x = -3x 44 + -3x = 17 + 7x + -7x Combine like terms: 7x + -7x = 0 44 + -3x = 17 + 0 44 + -3x = 17 Add '-44' to each side of the equation. 44 + -44 + -3x = 17 + -44 Combine like terms: 44 + -44 = 0 0 + -3x = 17 + -44 -3x = 17 + -44 Combine like terms: 17 + -44 = -27 -3x = -27 Divide each side by '-3'. x = 9 Simplifying x = 9
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