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Simplifying 3(2 + -5x) = 3(3x + 1) (2 * 3 + -5x * 3) = 3(3x + 1) (6 + -15x) = 3(3x + 1) Reorder the terms: 6 + -15x = 3(1 + 3x) 6 + -15x = (1 * 3 + 3x * 3) 6 + -15x = (3 + 9x) Solving 6 + -15x = 3 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 6 + -15x + -9x = 3 + 9x + -9x Combine like terms: -15x + -9x = -24x 6 + -24x = 3 + 9x + -9x Combine like terms: 9x + -9x = 0 6 + -24x = 3 + 0 6 + -24x = 3 Add '-6' to each side of the equation. 6 + -6 + -24x = 3 + -6 Combine like terms: 6 + -6 = 0 0 + -24x = 3 + -6 -24x = 3 + -6 Combine like terms: 3 + -6 = -3 -24x = -3 Divide each side by '-24'. x = 0.125 Simplifying x = 0.125
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