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Simplifying 6 + 12(x + 3) = 7x + 30 + 6x Reorder the terms: 6 + 12(3 + x) = 7x + 30 + 6x 6 + (3 * 12 + x * 12) = 7x + 30 + 6x 6 + (36 + 12x) = 7x + 30 + 6x Combine like terms: 6 + 36 = 42 42 + 12x = 7x + 30 + 6x Reorder the terms: 42 + 12x = 30 + 7x + 6x Combine like terms: 7x + 6x = 13x 42 + 12x = 30 + 13x Solving 42 + 12x = 30 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 42 + 12x + -13x = 30 + 13x + -13x Combine like terms: 12x + -13x = -1x 42 + -1x = 30 + 13x + -13x Combine like terms: 13x + -13x = 0 42 + -1x = 30 + 0 42 + -1x = 30 Add '-42' to each side of the equation. 42 + -42 + -1x = 30 + -42 Combine like terms: 42 + -42 = 0 0 + -1x = 30 + -42 -1x = 30 + -42 Combine like terms: 30 + -42 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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