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Simplifying 30 = -2x + 5(4x + -12) Reorder the terms: 30 = -2x + 5(-12 + 4x) 30 = -2x + (-12 * 5 + 4x * 5) 30 = -2x + (-60 + 20x) Reorder the terms: 30 = -60 + -2x + 20x Combine like terms: -2x + 20x = 18x 30 = -60 + 18x Solving 30 = -60 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 30 + -18x = -60 + 18x + -18x Combine like terms: 18x + -18x = 0 30 + -18x = -60 + 0 30 + -18x = -60 Add '-30' to each side of the equation. 30 + -30 + -18x = -60 + -30 Combine like terms: 30 + -30 = 0 0 + -18x = -60 + -30 -18x = -60 + -30 Combine like terms: -60 + -30 = -90 -18x = -90 Divide each side by '-18'. x = 5 Simplifying x = 5
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