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Simplifying 5(x + 6) = -2x + -19 Reorder the terms: 5(6 + x) = -2x + -19 (6 * 5 + x * 5) = -2x + -19 (30 + 5x) = -2x + -19 Reorder the terms: 30 + 5x = -19 + -2x Solving 30 + 5x = -19 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 30 + 5x + 2x = -19 + -2x + 2x Combine like terms: 5x + 2x = 7x 30 + 7x = -19 + -2x + 2x Combine like terms: -2x + 2x = 0 30 + 7x = -19 + 0 30 + 7x = -19 Add '-30' to each side of the equation. 30 + -30 + 7x = -19 + -30 Combine like terms: 30 + -30 = 0 0 + 7x = -19 + -30 7x = -19 + -30 Combine like terms: -19 + -30 = -49 7x = -49 Divide each side by '7'. x = -7 Simplifying x = -7
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