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Simplifying 2(x + 3) + 5(x + -2) = x + 10 Reorder the terms: 2(3 + x) + 5(x + -2) = x + 10 (3 * 2 + x * 2) + 5(x + -2) = x + 10 (6 + 2x) + 5(x + -2) = x + 10 Reorder the terms: 6 + 2x + 5(-2 + x) = x + 10 6 + 2x + (-2 * 5 + x * 5) = x + 10 6 + 2x + (-10 + 5x) = x + 10 Reorder the terms: 6 + -10 + 2x + 5x = x + 10 Combine like terms: 6 + -10 = -4 -4 + 2x + 5x = x + 10 Combine like terms: 2x + 5x = 7x -4 + 7x = x + 10 Reorder the terms: -4 + 7x = 10 + x Solving -4 + 7x = 10 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -4 + 7x + -1x = 10 + x + -1x Combine like terms: 7x + -1x = 6x -4 + 6x = 10 + x + -1x Combine like terms: x + -1x = 0 -4 + 6x = 10 + 0 -4 + 6x = 10 Add '4' to each side of the equation. -4 + 4 + 6x = 10 + 4 Combine like terms: -4 + 4 = 0 0 + 6x = 10 + 4 6x = 10 + 4 Combine like terms: 10 + 4 = 14 6x = 14 Divide each side by '6'. x = 2.333333333 Simplifying x = 2.333333333
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