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Simplifying 2(x + -8) = 3x + -21 Reorder the terms: 2(-8 + x) = 3x + -21 (-8 * 2 + x * 2) = 3x + -21 (-16 + 2x) = 3x + -21 Reorder the terms: -16 + 2x = -21 + 3x Solving -16 + 2x = -21 + 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 = -21 + 3x + -3x Combine like terms: 2x + -3x = -1x -16 + -1x = -21 + 3x + -3x Combine like terms: 3x + -3x = 0 -16 + -1x = -21 + 0 -16 + -1x = -21 Add '16' to each side of the equation. -16 + 16 + -1x = -21 + 16 Combine like terms: -16 + 16 = 0 0 + -1x = -21 + 16 -1x = -21 + 16 Combine like terms: -21 + 16 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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