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Simplifying 7(x + -2) + -2(x + -3) = 19 Reorder the terms: 7(-2 + x) + -2(x + -3) = 19 (-2 * 7 + x * 7) + -2(x + -3) = 19 (-14 + 7x) + -2(x + -3) = 19 Reorder the terms: -14 + 7x + -2(-3 + x) = 19 -14 + 7x + (-3 * -2 + x * -2) = 19 -14 + 7x + (6 + -2x) = 19 Reorder the terms: -14 + 6 + 7x + -2x = 19 Combine like terms: -14 + 6 = -8 -8 + 7x + -2x = 19 Combine like terms: 7x + -2x = 5x -8 + 5x = 19 Solving -8 + 5x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 5x = 19 + 8 Combine like terms: -8 + 8 = 0 0 + 5x = 19 + 8 5x = 19 + 8 Combine like terms: 19 + 8 = 27 5x = 27 Divide each side by '5'. x = 5.4 Simplifying x = 5.4
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