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Simplifying -5(3x + 1) = -6 + -2x Reorder the terms: -5(1 + 3x) = -6 + -2x (1 * -5 + 3x * -5) = -6 + -2x (-5 + -15x) = -6 + -2x Solving -5 + -15x = -6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -5 + -15x + 2x = -6 + -2x + 2x Combine like terms: -15x + 2x = -13x -5 + -13x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 -5 + -13x = -6 + 0 -5 + -13x = -6 Add '5' to each side of the equation. -5 + 5 + -13x = -6 + 5 Combine like terms: -5 + 5 = 0 0 + -13x = -6 + 5 -13x = -6 + 5 Combine like terms: -6 + 5 = -1 -13x = -1 Divide each side by '-13'. x = 0.07692307692 Simplifying x = 0.07692307692
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