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Simplifying 2(x + 3) + 5(x + -3) = -1x + 10 Reorder the terms: 2(3 + x) + 5(x + -3) = -1x + 10 (3 * 2 + x * 2) + 5(x + -3) = -1x + 10 (6 + 2x) + 5(x + -3) = -1x + 10 Reorder the terms: 6 + 2x + 5(-3 + x) = -1x + 10 6 + 2x + (-3 * 5 + x * 5) = -1x + 10 6 + 2x + (-15 + 5x) = -1x + 10 Reorder the terms: 6 + -15 + 2x + 5x = -1x + 10 Combine like terms: 6 + -15 = -9 -9 + 2x + 5x = -1x + 10 Combine like terms: 2x + 5x = 7x -9 + 7x = -1x + 10 Reorder the terms: -9 + 7x = 10 + -1x Solving -9 + 7x = 10 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -9 + 7x + x = 10 + -1x + x Combine like terms: 7x + x = 8x -9 + 8x = 10 + -1x + x Combine like terms: -1x + x = 0 -9 + 8x = 10 + 0 -9 + 8x = 10 Add '9' to each side of the equation. -9 + 9 + 8x = 10 + 9 Combine like terms: -9 + 9 = 0 0 + 8x = 10 + 9 8x = 10 + 9 Combine like terms: 10 + 9 = 19 8x = 19 Divide each side by '8'. x = 2.375 Simplifying x = 2.375
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