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Simplifying 3x + 4 = 7 + -1(7x + -3) Reorder the terms: 4 + 3x = 7 + -1(7x + -3) Reorder the terms: 4 + 3x = 7 + -1(-3 + 7x) 4 + 3x = 7 + (-3 * -1 + 7x * -1) 4 + 3x = 7 + (3 + -7x) Combine like terms: 7 + 3 = 10 4 + 3x = 10 + -7x Solving 4 + 3x = 10 + -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. 4 + 3x + 7x = 10 + -7x + 7x Combine like terms: 3x + 7x = 10x 4 + 10x = 10 + -7x + 7x Combine like terms: -7x + 7x = 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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