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Simplifying 7(x + 1) = -5(3x + -1) + 8x Reorder the terms: 7(1 + x) = -5(3x + -1) + 8x (1 * 7 + x * 7) = -5(3x + -1) + 8x (7 + 7x) = -5(3x + -1) + 8x Reorder the terms: 7 + 7x = -5(-1 + 3x) + 8x 7 + 7x = (-1 * -5 + 3x * -5) + 8x 7 + 7x = (5 + -15x) + 8x Combine like terms: -15x + 8x = -7x 7 + 7x = 5 + -7x Solving 7 + 7x = 5 + -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 + 7x + 7x = 5 + -7x + 7x Combine like terms: 7x + 7x = 14x 7 + 14x = 5 + -7x + 7x Combine like terms: -7x + 7x = 0 7 + 14x = 5 + 0 7 + 14x = 5 Add '-7' to each side of the equation. 7 + -7 + 14x = 5 + -7 Combine like terms: 7 + -7 = 0 0 + 14x = 5 + -7 14x = 5 + -7 Combine like terms: 5 + -7 = -2 14x = -2 Divide each side by '14'. x = -0.1428571429 Simplifying x = -0.1428571429
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