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Simplifying 500 = 3x + 3x + (2x + -6) + 2(x + 3) Reorder the terms: 500 = 3x + 3x + (-6 + 2x) + 2(x + 3) Remove parenthesis around (-6 + 2x) 500 = 3x + 3x + -6 + 2x + 2(x + 3) Reorder the terms: 500 = 3x + 3x + -6 + 2x + 2(3 + x) 500 = 3x + 3x + -6 + 2x + (3 * 2 + x * 2) 500 = 3x + 3x + -6 + 2x + (6 + 2x) Reorder the terms: 500 = -6 + 6 + 3x + 3x + 2x + 2x Combine like terms: -6 + 6 = 0 500 = 0 + 3x + 3x + 2x + 2x 500 = 3x + 3x + 2x + 2x Combine like terms: 3x + 3x = 6x 500 = 6x + 2x + 2x Combine like terms: 6x + 2x = 8x 500 = 8x + 2x Combine like terms: 8x + 2x = 10x 500 = 10x Solving 500 = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 500 + -10x = 10x + -10x Combine like terms: 10x + -10x = 0 500 + -10x = 0 Add '-500' to each side of the equation. 500 + -500 + -10x = 0 + -500 Combine like terms: 500 + -500 = 0 0 + -10x = 0 + -500 -10x = 0 + -500 Combine like terms: 0 + -500 = -500 -10x = -500 Divide each side by '-10'. x = 50 Simplifying x = 50
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