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Simplifying 5(2x + -3) + 2(3x + 2) = 5x Reorder the terms: 5(-3 + 2x) + 2(3x + 2) = 5x (-3 * 5 + 2x * 5) + 2(3x + 2) = 5x (-15 + 10x) + 2(3x + 2) = 5x Reorder the terms: -15 + 10x + 2(2 + 3x) = 5x -15 + 10x + (2 * 2 + 3x * 2) = 5x -15 + 10x + (4 + 6x) = 5x Reorder the terms: -15 + 4 + 10x + 6x = 5x Combine like terms: -15 + 4 = -11 -11 + 10x + 6x = 5x Combine like terms: 10x + 6x = 16x -11 + 16x = 5x Solving -11 + 16x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -11 + 16x + -5x = 5x + -5x Combine like terms: 16x + -5x = 11x -11 + 11x = 5x + -5x Combine like terms: 5x + -5x = 0 -11 + 11x = 0 Add '11' to each side of the equation. -11 + 11 + 11x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 11x = 0 + 11 11x = 0 + 11 Combine like terms: 0 + 11 = 11 11x = 11 Divide each side by '11'. x = 1 Simplifying x = 1
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