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Simplifying 8x + 30 + 4x = 10(x + 3) Reorder the terms: 30 + 8x + 4x = 10(x + 3) Combine like terms: 8x + 4x = 12x 30 + 12x = 10(x + 3) Reorder the terms: 30 + 12x = 10(3 + x) 30 + 12x = (3 * 10 + x * 10) 30 + 12x = (30 + 10x) Add '-30' to each side of the equation. 30 + -30 + 12x = 30 + -30 + 10x Combine like terms: 30 + -30 = 0 0 + 12x = 30 + -30 + 10x 12x = 30 + -30 + 10x Combine like terms: 30 + -30 = 0 12x = 0 + 10x 12x = 10x Solving 12x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 12x + -10x = 10x + -10x Combine like terms: 12x + -10x = 2x 2x = 10x + -10x Combine like terms: 10x + -10x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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