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Simplifying 6(4x + 2) = 30x + -30 Reorder the terms: 6(2 + 4x) = 30x + -30 (2 * 6 + 4x * 6) = 30x + -30 (12 + 24x) = 30x + -30 Reorder the terms: 12 + 24x = -30 + 30x Solving 12 + 24x = -30 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 12 + 24x + -30x = -30 + 30x + -30x Combine like terms: 24x + -30x = -6x 12 + -6x = -30 + 30x + -30x Combine like terms: 30x + -30x = 0 12 + -6x = -30 + 0 12 + -6x = -30 Add '-12' to each side of the equation. 12 + -12 + -6x = -30 + -12 Combine like terms: 12 + -12 = 0 0 + -6x = -30 + -12 -6x = -30 + -12 Combine like terms: -30 + -12 = -42 -6x = -42 Divide each side by '-6'. x = 7 Simplifying x = 7
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