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Simplifying -2(x + 3) + 3(x + 2) = 10 + 6x + 5(x + -2) Reorder the terms: -2(3 + x) + 3(x + 2) = 10 + 6x + 5(x + -2) (3 * -2 + x * -2) + 3(x + 2) = 10 + 6x + 5(x + -2) (-6 + -2x) + 3(x + 2) = 10 + 6x + 5(x + -2) Reorder the terms: -6 + -2x + 3(2 + x) = 10 + 6x + 5(x + -2) -6 + -2x + (2 * 3 + x * 3) = 10 + 6x + 5(x + -2) -6 + -2x + (6 + 3x) = 10 + 6x + 5(x + -2) Reorder the terms: -6 + 6 + -2x + 3x = 10 + 6x + 5(x + -2) Combine like terms: -6 + 6 = 0 0 + -2x + 3x = 10 + 6x + 5(x + -2) -2x + 3x = 10 + 6x + 5(x + -2) Combine like terms: -2x + 3x = 1x 1x = 10 + 6x + 5(x + -2) Reorder the terms: 1x = 10 + 6x + 5(-2 + x) 1x = 10 + 6x + (-2 * 5 + x * 5) 1x = 10 + 6x + (-10 + 5x) Reorder the terms: 1x = 10 + -10 + 6x + 5x Combine like terms: 10 + -10 = 0 1x = 0 + 6x + 5x 1x = 6x + 5x Combine like terms: 6x + 5x = 11x 1x = 11x Solving 1x = 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. 1x + -11x = 11x + -11x Combine like terms: 1x + -11x = -10x -10x = 11x + -11x Combine like terms: 11x + -11x = 0 -10x = 0 Divide each side by '-10'. x = 0.0 Simplifying x = 0.0
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