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Simplifying 20 + 4x = 7 + 7(5x + -7) Reorder the terms: 20 + 4x = 7 + 7(-7 + 5x) 20 + 4x = 7 + (-7 * 7 + 5x * 7) 20 + 4x = 7 + (-49 + 35x) Combine like terms: 7 + -49 = -42 20 + 4x = -42 + 35x Solving 20 + 4x = -42 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 20 + 4x + -35x = -42 + 35x + -35x Combine like terms: 4x + -35x = -31x 20 + -31x = -42 + 35x + -35x Combine like terms: 35x + -35x = 0 20 + -31x = -42 + 0 20 + -31x = -42 Add '-20' to each side of the equation. 20 + -20 + -31x = -42 + -20 Combine like terms: 20 + -20 = 0 0 + -31x = -42 + -20 -31x = -42 + -20 Combine like terms: -42 + -20 = -62 -31x = -62 Divide each side by '-31'. x = 2 Simplifying x = 2
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