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Simplifying -40 + -5x = 5(-6 + -3x) -40 + -5x = (-6 * 5 + -3x * 5) -40 + -5x = (-30 + -15x) Solving -40 + -5x = -30 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -40 + -5x + 15x = -30 + -15x + 15x Combine like terms: -5x + 15x = 10x -40 + 10x = -30 + -15x + 15x Combine like terms: -15x + 15x = 0 -40 + 10x = -30 + 0 -40 + 10x = -30 Add '40' to each side of the equation. -40 + 40 + 10x = -30 + 40 Combine like terms: -40 + 40 = 0 0 + 10x = -30 + 40 10x = -30 + 40 Combine like terms: -30 + 40 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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