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Simplifying 5(x + -6) = 19 + -2x Reorder the terms: 5(-6 + x) = 19 + -2x (-6 * 5 + x * 5) = 19 + -2x (-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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