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Simplifying [6(x + -2)] = (3x + 30) Reorder the terms: [6(-2 + x)] = (3x + 30) [(-2 * 6 + x * 6)] = (3x + 30) [(-12 + 6x)] = (3x + 30) [-12 + 6x] = (3x + 30) Remove brackets around [-12 + 6x] -12 + 6x = (3x + 30) Reorder the terms: -12 + 6x = (30 + 3x) Remove parenthesis around (30 + 3x) -12 + 6x = 30 + 3x Solving -12 + 6x = 30 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -12 + 6x + -3x = 30 + 3x + -3x Combine like terms: 6x + -3x = 3x -12 + 3x = 30 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + 3x = 30 + 0 -12 + 3x = 30 Add '12' to each side of the equation. -12 + 12 + 3x = 30 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = 30 + 12 3x = 30 + 12 Combine like terms: 30 + 12 = 42 3x = 42 Divide each side by '3'. x = 14 Simplifying x = 14
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