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Simplifying 3x + -2 = 2(7x + 2) + -3x + -8 Reorder the terms: -2 + 3x = 2(7x + 2) + -3x + -8 Reorder the terms: -2 + 3x = 2(2 + 7x) + -3x + -8 -2 + 3x = (2 * 2 + 7x * 2) + -3x + -8 -2 + 3x = (4 + 14x) + -3x + -8 Reorder the terms: -2 + 3x = 4 + -8 + 14x + -3x Combine like terms: 4 + -8 = -4 -2 + 3x = -4 + 14x + -3x Combine like terms: 14x + -3x = 11x -2 + 3x = -4 + 11x Solving -2 + 3x = -4 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -2 + 3x + -11x = -4 + 11x + -11x Combine like terms: 3x + -11x = -8x -2 + -8x = -4 + 11x + -11x Combine like terms: 11x + -11x = 0 -2 + -8x = -4 + 0 -2 + -8x = -4 Add '2' to each side of the equation. -2 + 2 + -8x = -4 + 2 Combine like terms: -2 + 2 = 0 0 + -8x = -4 + 2 -8x = -4 + 2 Combine like terms: -4 + 2 = -2 -8x = -2 Divide each side by '-8'. x = 0.25 Simplifying x = 0.25
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