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Simplifying 4(3x + -28) = 5(x + 21) Reorder the terms: 4(-28 + 3x) = 5(x + 21) (-28 * 4 + 3x * 4) = 5(x + 21) (-112 + 12x) = 5(x + 21) Reorder the terms: -112 + 12x = 5(21 + x) -112 + 12x = (21 * 5 + x * 5) -112 + 12x = (105 + 5x) Solving -112 + 12x = 105 + 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. -112 + 12x + -5x = 105 + 5x + -5x Combine like terms: 12x + -5x = 7x -112 + 7x = 105 + 5x + -5x Combine like terms: 5x + -5x = 0 -112 + 7x = 105 + 0 -112 + 7x = 105 Add '112' to each side of the equation. -112 + 112 + 7x = 105 + 112 Combine like terms: -112 + 112 = 0 0 + 7x = 105 + 112 7x = 105 + 112 Combine like terms: 105 + 112 = 217 7x = 217 Divide each side by '7'. x = 31 Simplifying x = 31
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