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Simplifying 4x + 17 = 7x + 53 Reorder the terms: 17 + 4x = 7x + 53 Reorder the terms: 17 + 4x = 53 + 7x Solving 17 + 4x = 53 + 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. 17 + 4x + -7x = 53 + 7x + -7x Combine like terms: 4x + -7x = -3x 17 + -3x = 53 + 7x + -7x Combine like terms: 7x + -7x = 0 17 + -3x = 53 + 0 17 + -3x = 53 Add '-17' to each side of the equation. 17 + -17 + -3x = 53 + -17 Combine like terms: 17 + -17 = 0 0 + -3x = 53 + -17 -3x = 53 + -17 Combine like terms: 53 + -17 = 36 -3x = 36 Divide each side by '-3'. x = -12 Simplifying x = -12
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