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Simplifying 3(1 + -5x) = 3(x + -5) (1 * 3 + -5x * 3) = 3(x + -5) (3 + -15x) = 3(x + -5) Reorder the terms: 3 + -15x = 3(-5 + x) 3 + -15x = (-5 * 3 + x * 3) 3 + -15x = (-15 + 3x) Solving 3 + -15x = -15 + 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. 3 + -15x + -3x = -15 + 3x + -3x Combine like terms: -15x + -3x = -18x 3 + -18x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + -18x = -15 + 0 3 + -18x = -15 Add '-3' to each side of the equation. 3 + -3 + -18x = -15 + -3 Combine like terms: 3 + -3 = 0 0 + -18x = -15 + -3 -18x = -15 + -3 Combine like terms: -15 + -3 = -18 -18x = -18 Divide each side by '-18'. x = 1 Simplifying x = 1
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