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Simplifying 7(x + 1) = 8x + 7 + -2(3x + -5) Reorder the terms: 7(1 + x) = 8x + 7 + -2(3x + -5) (1 * 7 + x * 7) = 8x + 7 + -2(3x + -5) (7 + 7x) = 8x + 7 + -2(3x + -5) Reorder the terms: 7 + 7x = 8x + 7 + -2(-5 + 3x) 7 + 7x = 8x + 7 + (-5 * -2 + 3x * -2) 7 + 7x = 8x + 7 + (10 + -6x) Reorder the terms: 7 + 7x = 7 + 10 + 8x + -6x Combine like terms: 7 + 10 = 17 7 + 7x = 17 + 8x + -6x Combine like terms: 8x + -6x = 2x 7 + 7x = 17 + 2x Solving 7 + 7x = 17 + 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 + 7x + -2x = 17 + 2x + -2x Combine like terms: 7x + -2x = 5x 7 + 5x = 17 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + 5x = 17 + 0 7 + 5x = 17 Add '-7' to each side of the equation. 7 + -7 + 5x = 17 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = 17 + -7 5x = 17 + -7 Combine like terms: 17 + -7 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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