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Simplifying 5(3x + -2) = 2(2x + 8) Reorder the terms: 5(-2 + 3x) = 2(2x + 8) (-2 * 5 + 3x * 5) = 2(2x + 8) (-10 + 15x) = 2(2x + 8) Reorder the terms: -10 + 15x = 2(8 + 2x) -10 + 15x = (8 * 2 + 2x * 2) -10 + 15x = (16 + 4x) Solving -10 + 15x = 16 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -10 + 15x + -4x = 16 + 4x + -4x Combine like terms: 15x + -4x = 11x -10 + 11x = 16 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + 11x = 16 + 0 -10 + 11x = 16 Add '10' to each side of the equation. -10 + 10 + 11x = 16 + 10 Combine like terms: -10 + 10 = 0 0 + 11x = 16 + 10 11x = 16 + 10 Combine like terms: 16 + 10 = 26 11x = 26 Divide each side by '11'. x = 2.363636364 Simplifying x = 2.363636364
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