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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 = 22x 7 + 7x = -10 + 22x Solving 7 + 7x = -10 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 7 + 7x + -22x = -10 + 22x + -22x Combine like terms: 7x + -22x = -15x 7 + -15x = -10 + 22x + -22x Combine like terms: 22x + -22x = 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 = -17 -15x = -17 Divide each side by '-15'. x = 1.133333333 Simplifying x = 1.133333333
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