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Simplifying 4(5x + -3) = (14x + 21) Reorder the terms: 4(-3 + 5x) = (14x + 21) (-3 * 4 + 5x * 4) = (14x + 21) (-12 + 20x) = (14x + 21) Reorder the terms: -12 + 20x = (21 + 14x) Remove parenthesis around (21 + 14x) -12 + 20x = 21 + 14x Solving -12 + 20x = 21 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -12 + 20x + -14x = 21 + 14x + -14x Combine like terms: 20x + -14x = 6x -12 + 6x = 21 + 14x + -14x Combine like terms: 14x + -14x = 0 -12 + 6x = 21 + 0 -12 + 6x = 21 Add '12' to each side of the equation. -12 + 12 + 6x = 21 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = 21 + 12 6x = 21 + 12 Combine like terms: 21 + 12 = 33 6x = 33 Divide each side by '6'. x = 5.5 Simplifying x = 5.5
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