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Simplifying 7(x + 1) = -5(3x + -2) + 7x Reorder the terms: 7(1 + x) = -5(3x + -2) + 7x (1 * 7 + x * 7) = -5(3x + -2) + 7x (7 + 7x) = -5(3x + -2) + 7x Reorder the terms: 7 + 7x = -5(-2 + 3x) + 7x 7 + 7x = (-2 * -5 + 3x * -5) + 7x 7 + 7x = (10 + -15x) + 7x Combine like terms: -15x + 7x = -8x 7 + 7x = 10 + -8x Solving 7 + 7x = 10 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 7 + 7x + 8x = 10 + -8x + 8x Combine like terms: 7x + 8x = 15x 7 + 15x = 10 + -8x + 8x Combine like terms: -8x + 8x = 0 7 + 15x = 10 + 0 7 + 15x = 10 Add '-7' to each side of the equation. 7 + -7 + 15x = 10 + -7 Combine like terms: 7 + -7 = 0 0 + 15x = 10 + -7 15x = 10 + -7 Combine like terms: 10 + -7 = 3 15x = 3 Divide each side by '15'. x = 0.2 Simplifying x = 0.2
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