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Simplifying 2(x + -8) = 10 + -3(x + 2) Reorder the terms: 2(-8 + x) = 10 + -3(x + 2) (-8 * 2 + x * 2) = 10 + -3(x + 2) (-16 + 2x) = 10 + -3(x + 2) Reorder the terms: -16 + 2x = 10 + -3(2 + x) -16 + 2x = 10 + (2 * -3 + x * -3) -16 + 2x = 10 + (-6 + -3x) Combine like terms: 10 + -6 = 4 -16 + 2x = 4 + -3x Solving -16 + 2x = 4 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -16 + 2x + 3x = 4 + -3x + 3x Combine like terms: 2x + 3x = 5x -16 + 5x = 4 + -3x + 3x Combine like terms: -3x + 3x = 0 -16 + 5x = 4 + 0 -16 + 5x = 4 Add '16' to each side of the equation. -16 + 16 + 5x = 4 + 16 Combine like terms: -16 + 16 = 0 0 + 5x = 4 + 16 5x = 4 + 16 Combine like terms: 4 + 16 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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