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Simplifying 5x + -2(x + -2) = 8x + 21 + -4x Reorder the terms: 5x + -2(-2 + x) = 8x + 21 + -4x 5x + (-2 * -2 + x * -2) = 8x + 21 + -4x 5x + (4 + -2x) = 8x + 21 + -4x Reorder the terms: 4 + 5x + -2x = 8x + 21 + -4x Combine like terms: 5x + -2x = 3x 4 + 3x = 8x + 21 + -4x Reorder the terms: 4 + 3x = 21 + 8x + -4x Combine like terms: 8x + -4x = 4x 4 + 3x = 21 + 4x Solving 4 + 3x = 21 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 4 + 3x + -4x = 21 + 4x + -4x Combine like terms: 3x + -4x = -1x 4 + -1x = 21 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + -1x = 21 + 0 4 + -1x = 21 Add '-4' to each side of the equation. 4 + -4 + -1x = 21 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 21 + -4 -1x = 21 + -4 Combine like terms: 21 + -4 = 17 -1x = 17 Divide each side by '-1'. x = -17 Simplifying x = -17
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