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Simplifying 3x + 6 + 4x + 34 = 12x + 7 + 3x + 9 Reorder the terms: 6 + 34 + 3x + 4x = 12x + 7 + 3x + 9 Combine like terms: 6 + 34 = 40 40 + 3x + 4x = 12x + 7 + 3x + 9 Combine like terms: 3x + 4x = 7x 40 + 7x = 12x + 7 + 3x + 9 Reorder the terms: 40 + 7x = 7 + 9 + 12x + 3x Combine like terms: 7 + 9 = 16 40 + 7x = 16 + 12x + 3x Combine like terms: 12x + 3x = 15x 40 + 7x = 16 + 15x Solving 40 + 7x = 16 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 40 + 7x + -15x = 16 + 15x + -15x Combine like terms: 7x + -15x = -8x 40 + -8x = 16 + 15x + -15x Combine like terms: 15x + -15x = 0 40 + -8x = 16 + 0 40 + -8x = 16 Add '-40' to each side of the equation. 40 + -40 + -8x = 16 + -40 Combine like terms: 40 + -40 = 0 0 + -8x = 16 + -40 -8x = 16 + -40 Combine like terms: 16 + -40 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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