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Simplifying -2(5 + 3x) = -2(x + -8) + 2 (5 * -2 + 3x * -2) = -2(x + -8) + 2 (-10 + -6x) = -2(x + -8) + 2 Reorder the terms: -10 + -6x = -2(-8 + x) + 2 -10 + -6x = (-8 * -2 + x * -2) + 2 -10 + -6x = (16 + -2x) + 2 Reorder the terms: -10 + -6x = 16 + 2 + -2x Combine like terms: 16 + 2 = 18 -10 + -6x = 18 + -2x Solving -10 + -6x = 18 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -10 + -6x + 2x = 18 + -2x + 2x Combine like terms: -6x + 2x = -4x -10 + -4x = 18 + -2x + 2x Combine like terms: -2x + 2x = 0 -10 + -4x = 18 + 0 -10 + -4x = 18 Add '10' to each side of the equation. -10 + 10 + -4x = 18 + 10 Combine like terms: -10 + 10 = 0 0 + -4x = 18 + 10 -4x = 18 + 10 Combine like terms: 18 + 10 = 28 -4x = 28 Divide each side by '-4'. x = -7 Simplifying x = -7
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