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Simplifying 4(x + 5) = 7x + 8 Reorder the terms: 4(5 + x) = 7x + 8 (5 * 4 + x * 4) = 7x + 8 (20 + 4x) = 7x + 8 Reorder the terms: 20 + 4x = 8 + 7x Solving 20 + 4x = 8 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 20 + 4x + -7x = 8 + 7x + -7x Combine like terms: 4x + -7x = -3x 20 + -3x = 8 + 7x + -7x Combine like terms: 7x + -7x = 0 20 + -3x = 8 + 0 20 + -3x = 8 Add '-20' to each side of the equation. 20 + -20 + -3x = 8 + -20 Combine like terms: 20 + -20 = 0 0 + -3x = 8 + -20 -3x = 8 + -20 Combine like terms: 8 + -20 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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