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Simplifying 3(5x + -2) + 5(3 + -2x) + -2(2x + 3) = -2 Reorder the terms: 3(-2 + 5x) + 5(3 + -2x) + -2(2x + 3) = -2 (-2 * 3 + 5x * 3) + 5(3 + -2x) + -2(2x + 3) = -2 (-6 + 15x) + 5(3 + -2x) + -2(2x + 3) = -2 -6 + 15x + (3 * 5 + -2x * 5) + -2(2x + 3) = -2 -6 + 15x + (15 + -10x) + -2(2x + 3) = -2 Reorder the terms: -6 + 15x + 15 + -10x + -2(3 + 2x) = -2 -6 + 15x + 15 + -10x + (3 * -2 + 2x * -2) = -2 -6 + 15x + 15 + -10x + (-6 + -4x) = -2 Reorder the terms: -6 + 15 + -6 + 15x + -10x + -4x = -2 Combine like terms: -6 + 15 = 9 9 + -6 + 15x + -10x + -4x = -2 Combine like terms: 9 + -6 = 3 3 + 15x + -10x + -4x = -2 Combine like terms: 15x + -10x = 5x 3 + 5x + -4x = -2 Combine like terms: 5x + -4x = 1x 3 + 1x = -2 Solving 3 + 1x = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 1x = -2 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = -2 + -3 1x = -2 + -3 Combine like terms: -2 + -3 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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