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Simplifying 21x + 7 = 40 + 16x + 112 Reorder the terms: 7 + 21x = 40 + 16x + 112 Reorder the terms: 7 + 21x = 40 + 112 + 16x Combine like terms: 40 + 112 = 152 7 + 21x = 152 + 16x Solving 7 + 21x = 152 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 7 + 21x + -16x = 152 + 16x + -16x Combine like terms: 21x + -16x = 5x 7 + 5x = 152 + 16x + -16x Combine like terms: 16x + -16x = 0 7 + 5x = 152 + 0 7 + 5x = 152 Add '-7' to each side of the equation. 7 + -7 + 5x = 152 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = 152 + -7 5x = 152 + -7 Combine like terms: 152 + -7 = 145 5x = 145 Divide each side by '5'. x = 29 Simplifying x = 29
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