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Simplifying 4(1x + 5) = 7(2x + 4) Reorder the terms: 4(5 + 1x) = 7(2x + 4) (5 * 4 + 1x * 4) = 7(2x + 4) (20 + 4x) = 7(2x + 4) Reorder the terms: 20 + 4x = 7(4 + 2x) 20 + 4x = (4 * 7 + 2x * 7) 20 + 4x = (28 + 14x) Solving 20 + 4x = 28 + 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. 20 + 4x + -14x = 28 + 14x + -14x Combine like terms: 4x + -14x = -10x 20 + -10x = 28 + 14x + -14x Combine like terms: 14x + -14x = 0 20 + -10x = 28 + 0 20 + -10x = 28 Add '-20' to each side of the equation. 20 + -20 + -10x = 28 + -20 Combine like terms: 20 + -20 = 0 0 + -10x = 28 + -20 -10x = 28 + -20 Combine like terms: 28 + -20 = 8 -10x = 8 Divide each side by '-10'. x = -0.8 Simplifying x = -0.8
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