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Simplifying 7(4x + 15) = 6(8x + 4) Reorder the terms: 7(15 + 4x) = 6(8x + 4) (15 * 7 + 4x * 7) = 6(8x + 4) (105 + 28x) = 6(8x + 4) Reorder the terms: 105 + 28x = 6(4 + 8x) 105 + 28x = (4 * 6 + 8x * 6) 105 + 28x = (24 + 48x) Solving 105 + 28x = 24 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. 105 + 28x + -48x = 24 + 48x + -48x Combine like terms: 28x + -48x = -20x 105 + -20x = 24 + 48x + -48x Combine like terms: 48x + -48x = 0 105 + -20x = 24 + 0 105 + -20x = 24 Add '-105' to each side of the equation. 105 + -105 + -20x = 24 + -105 Combine like terms: 105 + -105 = 0 0 + -20x = 24 + -105 -20x = 24 + -105 Combine like terms: 24 + -105 = -81 -20x = -81 Divide each side by '-20'. x = 4.05 Simplifying x = 4.05
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