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Simplifying 7x + -2(x + -2) + 5(x + 3) = 0 Reorder the terms: 7x + -2(-2 + x) + 5(x + 3) = 0 7x + (-2 * -2 + x * -2) + 5(x + 3) = 0 7x + (4 + -2x) + 5(x + 3) = 0 Reorder the terms: 7x + 4 + -2x + 5(3 + x) = 0 7x + 4 + -2x + (3 * 5 + x * 5) = 0 7x + 4 + -2x + (15 + 5x) = 0 Reorder the terms: 4 + 15 + 7x + -2x + 5x = 0 Combine like terms: 4 + 15 = 19 19 + 7x + -2x + 5x = 0 Combine like terms: 7x + -2x = 5x 19 + 5x + 5x = 0 Combine like terms: 5x + 5x = 10x 19 + 10x = 0 Solving 19 + 10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 10x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 10x = 0 + -19 10x = 0 + -19 Combine like terms: 0 + -19 = -19 10x = -19 Divide each side by '10'. x = -1.9 Simplifying x = -1.9
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