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Simplifying 7x + -1(3 + -4) = 2(x + 1) Combine like terms: 3 + -4 = -1 7x + -1(-1) = 2(x + 1) Multiply -1 * -1 7x + 1 = 2(x + 1) Reorder the terms: 1 + 7x = 2(x + 1) Reorder the terms: 1 + 7x = 2(1 + x) 1 + 7x = (1 * 2 + x * 2) 1 + 7x = (2 + 2x) Solving 1 + 7x = 2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 1 + 7x + -2x = 2 + 2x + -2x Combine like terms: 7x + -2x = 5x 1 + 5x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 5x = 2 + 0 1 + 5x = 2 Add '-1' to each side of the equation. 1 + -1 + 5x = 2 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 2 + -1 5x = 2 + -1 Combine like terms: 2 + -1 = 1 5x = 1 Divide each side by '5'. x = 0.2 Simplifying x = 0.2
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