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Simplifying 30x + 10 + 2x = 15x + x + 42 Reorder the terms: 10 + 30x + 2x = 15x + x + 42 Combine like terms: 30x + 2x = 32x 10 + 32x = 15x + x + 42 Reorder the terms: 10 + 32x = 42 + 15x + x Combine like terms: 15x + x = 16x 10 + 32x = 42 + 16x Solving 10 + 32x = 42 + 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. 10 + 32x + -16x = 42 + 16x + -16x Combine like terms: 32x + -16x = 16x 10 + 16x = 42 + 16x + -16x Combine like terms: 16x + -16x = 0 10 + 16x = 42 + 0 10 + 16x = 42 Add '-10' to each side of the equation. 10 + -10 + 16x = 42 + -10 Combine like terms: 10 + -10 = 0 0 + 16x = 42 + -10 16x = 42 + -10 Combine like terms: 42 + -10 = 32 16x = 32 Divide each side by '16'. x = 2 Simplifying x = 2
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