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Simplifying 3x + 7 = 7 + -1(7x + -4) Reorder the terms: 7 + 3x = 7 + -1(7x + -4) Reorder the terms: 7 + 3x = 7 + -1(-4 + 7x) 7 + 3x = 7 + (-4 * -1 + 7x * -1) 7 + 3x = 7 + (4 + -7x) Combine like terms: 7 + 4 = 11 7 + 3x = 11 + -7x Solving 7 + 3x = 11 + -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. 7 + 3x + 7x = 11 + -7x + 7x Combine like terms: 3x + 7x = 10x 7 + 10x = 11 + -7x + 7x Combine like terms: -7x + 7x = 0 7 + 10x = 11 + 0 7 + 10x = 11 Add '-7' to each side of the equation. 7 + -7 + 10x = 11 + -7 Combine like terms: 7 + -7 = 0 0 + 10x = 11 + -7 10x = 11 + -7 Combine like terms: 11 + -7 = 4 10x = 4 Divide each side by '10'. x = 0.4 Simplifying x = 0.4
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