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Simplifying 3(2x + 6) + -10 = 4(x + 3) Reorder the terms: 3(6 + 2x) + -10 = 4(x + 3) (6 * 3 + 2x * 3) + -10 = 4(x + 3) (18 + 6x) + -10 = 4(x + 3) Reorder the terms: 18 + -10 + 6x = 4(x + 3) Combine like terms: 18 + -10 = 8 8 + 6x = 4(x + 3) Reorder the terms: 8 + 6x = 4(3 + x) 8 + 6x = (3 * 4 + x * 4) 8 + 6x = (12 + 4x) Solving 8 + 6x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 8 + 6x + -4x = 12 + 4x + -4x Combine like terms: 6x + -4x = 2x 8 + 2x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + 2x = 12 + 0 8 + 2x = 12 Add '-8' to each side of the equation. 8 + -8 + 2x = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 12 + -8 2x = 12 + -8 Combine like terms: 12 + -8 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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