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Simplifying 15x + 3 + 3x + 16 = 16x + 29 Reorder the terms: 3 + 16 + 15x + 3x = 16x + 29 Combine like terms: 3 + 16 = 19 19 + 15x + 3x = 16x + 29 Combine like terms: 15x + 3x = 18x 19 + 18x = 16x + 29 Reorder the terms: 19 + 18x = 29 + 16x Solving 19 + 18x = 29 + 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. 19 + 18x + -16x = 29 + 16x + -16x Combine like terms: 18x + -16x = 2x 19 + 2x = 29 + 16x + -16x Combine like terms: 16x + -16x = 0 19 + 2x = 29 + 0 19 + 2x = 29 Add '-19' to each side of the equation. 19 + -19 + 2x = 29 + -19 Combine like terms: 19 + -19 = 0 0 + 2x = 29 + -19 2x = 29 + -19 Combine like terms: 29 + -19 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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