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Simplifying 3(4 + -5x) + 2(5x + 2) = 3x (4 * 3 + -5x * 3) + 2(5x + 2) = 3x (12 + -15x) + 2(5x + 2) = 3x Reorder the terms: 12 + -15x + 2(2 + 5x) = 3x 12 + -15x + (2 * 2 + 5x * 2) = 3x 12 + -15x + (4 + 10x) = 3x Reorder the terms: 12 + 4 + -15x + 10x = 3x Combine like terms: 12 + 4 = 16 16 + -15x + 10x = 3x Combine like terms: -15x + 10x = -5x 16 + -5x = 3x Solving 16 + -5x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 16 + -5x + -3x = 3x + -3x Combine like terms: -5x + -3x = -8x 16 + -8x = 3x + -3x Combine like terms: 3x + -3x = 0 16 + -8x = 0 Add '-16' to each side of the equation. 16 + -16 + -8x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -8x = 0 + -16 -8x = 0 + -16 Combine like terms: 0 + -16 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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