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Simplifying 5 + -4(3x + -8) = 21 + -8x Reorder the terms: 5 + -4(-8 + 3x) = 21 + -8x 5 + (-8 * -4 + 3x * -4) = 21 + -8x 5 + (32 + -12x) = 21 + -8x Combine like terms: 5 + 32 = 37 37 + -12x = 21 + -8x Solving 37 + -12x = 21 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 37 + -12x + 8x = 21 + -8x + 8x Combine like terms: -12x + 8x = -4x 37 + -4x = 21 + -8x + 8x Combine like terms: -8x + 8x = 0 37 + -4x = 21 + 0 37 + -4x = 21 Add '-37' to each side of the equation. 37 + -37 + -4x = 21 + -37 Combine like terms: 37 + -37 = 0 0 + -4x = 21 + -37 -4x = 21 + -37 Combine like terms: 21 + -37 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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