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Simplifying 30x + -12 = 6(4x + 3) Reorder the terms: -12 + 30x = 6(4x + 3) Reorder the terms: -12 + 30x = 6(3 + 4x) -12 + 30x = (3 * 6 + 4x * 6) -12 + 30x = (18 + 24x) Solving -12 + 30x = 18 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -12 + 30x + -24x = 18 + 24x + -24x Combine like terms: 30x + -24x = 6x -12 + 6x = 18 + 24x + -24x Combine like terms: 24x + -24x = 0 -12 + 6x = 18 + 0 -12 + 6x = 18 Add '12' to each side of the equation. -12 + 12 + 6x = 18 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = 18 + 12 6x = 18 + 12 Combine like terms: 18 + 12 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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