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Simplifying 5(2x + 6) = -18x + 2 Reorder the terms: 5(6 + 2x) = -18x + 2 (6 * 5 + 2x * 5) = -18x + 2 (30 + 10x) = -18x + 2 Reorder the terms: 30 + 10x = 2 + -18x Solving 30 + 10x = 2 + -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 + 10x + 18x = 2 + -18x + 18x Combine like terms: 10x + 18x = 28x 30 + 28x = 2 + -18x + 18x Combine like terms: -18x + 18x = 0 30 + 28x = 2 + 0 30 + 28x = 2 Add '-30' to each side of the equation. 30 + -30 + 28x = 2 + -30 Combine like terms: 30 + -30 = 0 0 + 28x = 2 + -30 28x = 2 + -30 Combine like terms: 2 + -30 = -28 28x = -28 Divide each side by '28'. x = -1 Simplifying x = -1
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