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Simplifying 5x + 4 = 5 + -1(5x + -7) Reorder the terms: 4 + 5x = 5 + -1(5x + -7) Reorder the terms: 4 + 5x = 5 + -1(-7 + 5x) 4 + 5x = 5 + (-7 * -1 + 5x * -1) 4 + 5x = 5 + (7 + -5x) Combine like terms: 5 + 7 = 12 4 + 5x = 12 + -5x Solving 4 + 5x = 12 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 4 + 5x + 5x = 12 + -5x + 5x Combine like terms: 5x + 5x = 10x 4 + 10x = 12 + -5x + 5x Combine like terms: -5x + 5x = 0 4 + 10x = 12 + 0 4 + 10x = 12 Add '-4' to each side of the equation. 4 + -4 + 10x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 10x = 12 + -4 10x = 12 + -4 Combine like terms: 12 + -4 = 8 10x = 8 Divide each side by '10'. x = 0.8 Simplifying x = 0.8
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