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Simplifying 5(2 + -3x) = (5x + 1) (2 * 5 + -3x * 5) = (5x + 1) (10 + -15x) = (5x + 1) Reorder the terms: 10 + -15x = (1 + 5x) Remove parenthesis around (1 + 5x) 10 + -15x = 1 + 5x Solving 10 + -15x = 1 + 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 + -15x + -5x = 1 + 5x + -5x Combine like terms: -15x + -5x = -20x 10 + -20x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + -20x = 1 + 0 10 + -20x = 1 Add '-10' to each side of the equation. 10 + -10 + -20x = 1 + -10 Combine like terms: 10 + -10 = 0 0 + -20x = 1 + -10 -20x = 1 + -10 Combine like terms: 1 + -10 = -9 -20x = -9 Divide each side by '-20'. x = 0.45 Simplifying x = 0.45
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