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Simplifying 7x + 4 = 8 + -1(3x + -2) Reorder the terms: 4 + 7x = 8 + -1(3x + -2) Reorder the terms: 4 + 7x = 8 + -1(-2 + 3x) 4 + 7x = 8 + (-2 * -1 + 3x * -1) 4 + 7x = 8 + (2 + -3x) Combine like terms: 8 + 2 = 10 4 + 7x = 10 + -3x Solving 4 + 7x = 10 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 4 + 7x + 3x = 10 + -3x + 3x Combine like terms: 7x + 3x = 10x 4 + 10x = 10 + -3x + 3x Combine like terms: -3x + 3x = 0 4 + 10x = 10 + 0 4 + 10x = 10 Add '-4' to each side of the equation. 4 + -4 + 10x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 10x = 10 + -4 10x = 10 + -4 Combine like terms: 10 + -4 = 6 10x = 6 Divide each side by '10'. x = 0.6 Simplifying x = 0.6
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