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Simplifying 5(2 + -2x) + 3x = 5x + 9 (2 * 5 + -2x * 5) + 3x = 5x + 9 (10 + -10x) + 3x = 5x + 9 Combine like terms: -10x + 3x = -7x 10 + -7x = 5x + 9 Reorder the terms: 10 + -7x = 9 + 5x Solving 10 + -7x = 9 + 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. 10 + -7x + -5x = 9 + 5x + -5x Combine like terms: -7x + -5x = -12x 10 + -12x = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + -12x = 9 + 0 10 + -12x = 9 Add '-10' to each side of the equation. 10 + -10 + -12x = 9 + -10 Combine like terms: 10 + -10 = 0 0 + -12x = 9 + -10 -12x = 9 + -10 Combine like terms: 9 + -10 = -1 -12x = -1 Divide each side by '-12'. x = 0.08333333333 Simplifying x = 0.08333333333
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