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Simplifying 5(3x + 2) + -2 = -2(1 + -7x) Reorder the terms: 5(2 + 3x) + -2 = -2(1 + -7x) (2 * 5 + 3x * 5) + -2 = -2(1 + -7x) (10 + 15x) + -2 = -2(1 + -7x) Reorder the terms: 10 + -2 + 15x = -2(1 + -7x) Combine like terms: 10 + -2 = 8 8 + 15x = -2(1 + -7x) 8 + 15x = (1 * -2 + -7x * -2) 8 + 15x = (-2 + 14x) Solving 8 + 15x = -2 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 8 + 15x + -14x = -2 + 14x + -14x Combine like terms: 15x + -14x = 1x 8 + 1x = -2 + 14x + -14x Combine like terms: 14x + -14x = 0 8 + 1x = -2 + 0 8 + 1x = -2 Add '-8' to each side of the equation. 8 + -8 + 1x = -2 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = -2 + -8 1x = -2 + -8 Combine like terms: -2 + -8 = -10 1x = -10 Divide each side by '1'. x = -10 Simplifying x = -10
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