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Simplifying -4(x + -3) = 5x + 21 Reorder the terms: -4(-3 + x) = 5x + 21 (-3 * -4 + x * -4) = 5x + 21 (12 + -4x) = 5x + 21 Reorder the terms: 12 + -4x = 21 + 5x Solving 12 + -4x = 21 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + -4x + -5x = 21 + 5x + -5x Combine like terms: -4x + -5x = -9x 12 + -9x = 21 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -9x = 21 + 0 12 + -9x = 21 Add '-12' to each side of the equation. 12 + -12 + -9x = 21 + -12 Combine like terms: 12 + -12 = 0 0 + -9x = 21 + -12 -9x = 21 + -12 Combine like terms: 21 + -12 = 9 -9x = 9 Divide each side by '-9'. x = -1 Simplifying x = -1
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