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Simplifying 4(2x + 12) = 5x + 21 Reorder the terms: 4(12 + 2x) = 5x + 21 (12 * 4 + 2x * 4) = 5x + 21 (48 + 8x) = 5x + 21 Reorder the terms: 48 + 8x = 21 + 5x Solving 48 + 8x = 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. 48 + 8x + -5x = 21 + 5x + -5x Combine like terms: 8x + -5x = 3x 48 + 3x = 21 + 5x + -5x Combine like terms: 5x + -5x = 0 48 + 3x = 21 + 0 48 + 3x = 21 Add '-48' to each side of the equation. 48 + -48 + 3x = 21 + -48 Combine like terms: 48 + -48 = 0 0 + 3x = 21 + -48 3x = 21 + -48 Combine like terms: 21 + -48 = -27 3x = -27 Divide each side by '3'. x = -9 Simplifying x = -9
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