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Simplifying 5x + 7(x + 1) = 2(x + 3) Reorder the terms: 5x + 7(1 + x) = 2(x + 3) 5x + (1 * 7 + x * 7) = 2(x + 3) 5x + (7 + 7x) = 2(x + 3) Reorder the terms: 7 + 5x + 7x = 2(x + 3) Combine like terms: 5x + 7x = 12x 7 + 12x = 2(x + 3) Reorder the terms: 7 + 12x = 2(3 + x) 7 + 12x = (3 * 2 + x * 2) 7 + 12x = (6 + 2x) Solving 7 + 12x = 6 + 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. 7 + 12x + -2x = 6 + 2x + -2x Combine like terms: 12x + -2x = 10x 7 + 10x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + 10x = 6 + 0 7 + 10x = 6 Add '-7' to each side of the equation. 7 + -7 + 10x = 6 + -7 Combine like terms: 7 + -7 = 0 0 + 10x = 6 + -7 10x = 6 + -7 Combine like terms: 6 + -7 = -1 10x = -1 Divide each side by '10'. x = -0.1 Simplifying x = -0.1
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