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Simplifying 2 + -1(x + 8) = 3(2x + 5) Reorder the terms: 2 + -1(8 + x) = 3(2x + 5) 2 + (8 * -1 + x * -1) = 3(2x + 5) 2 + (-8 + -1x) = 3(2x + 5) Combine like terms: 2 + -8 = -6 -6 + -1x = 3(2x + 5) Reorder the terms: -6 + -1x = 3(5 + 2x) -6 + -1x = (5 * 3 + 2x * 3) -6 + -1x = (15 + 6x) Solving -6 + -1x = 15 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + -1x + -6x = 15 + 6x + -6x Combine like terms: -1x + -6x = -7x -6 + -7x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -7x = 15 + 0 -6 + -7x = 15 Add '6' to each side of the equation. -6 + 6 + -7x = 15 + 6 Combine like terms: -6 + 6 = 0 0 + -7x = 15 + 6 -7x = 15 + 6 Combine like terms: 15 + 6 = 21 -7x = 21 Divide each side by '-7'. x = -3 Simplifying x = -3
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