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Simplifying 2x + 3(x + -8) = 2(x + -6) Reorder the terms: 2x + 3(-8 + x) = 2(x + -6) 2x + (-8 * 3 + x * 3) = 2(x + -6) 2x + (-24 + 3x) = 2(x + -6) Reorder the terms: -24 + 2x + 3x = 2(x + -6) Combine like terms: 2x + 3x = 5x -24 + 5x = 2(x + -6) Reorder the terms: -24 + 5x = 2(-6 + x) -24 + 5x = (-6 * 2 + x * 2) -24 + 5x = (-12 + 2x) Solving -24 + 5x = -12 + 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. -24 + 5x + -2x = -12 + 2x + -2x Combine like terms: 5x + -2x = 3x -24 + 3x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 -24 + 3x = -12 + 0 -24 + 3x = -12 Add '24' to each side of the equation. -24 + 24 + 3x = -12 + 24 Combine like terms: -24 + 24 = 0 0 + 3x = -12 + 24 3x = -12 + 24 Combine like terms: -12 + 24 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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