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Simplifying 3(2x + 2) + 2(x + -8) = x + 3 Reorder the terms: 3(2 + 2x) + 2(x + -8) = x + 3 (2 * 3 + 2x * 3) + 2(x + -8) = x + 3 (6 + 6x) + 2(x + -8) = x + 3 Reorder the terms: 6 + 6x + 2(-8 + x) = x + 3 6 + 6x + (-8 * 2 + x * 2) = x + 3 6 + 6x + (-16 + 2x) = x + 3 Reorder the terms: 6 + -16 + 6x + 2x = x + 3 Combine like terms: 6 + -16 = -10 -10 + 6x + 2x = x + 3 Combine like terms: 6x + 2x = 8x -10 + 8x = x + 3 Reorder the terms: -10 + 8x = 3 + x Solving -10 + 8x = 3 + 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. -10 + 8x + -1x = 3 + x + -1x Combine like terms: 8x + -1x = 7x -10 + 7x = 3 + x + -1x Combine like terms: x + -1x = 0 -10 + 7x = 3 + 0 -10 + 7x = 3 Add '10' to each side of the equation. -10 + 10 + 7x = 3 + 10 Combine like terms: -10 + 10 = 0 0 + 7x = 3 + 10 7x = 3 + 10 Combine like terms: 3 + 10 = 13 7x = 13 Divide each side by '7'. x = 1.857142857 Simplifying x = 1.857142857
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