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Simplifying 2(5x + -3) = -5(x + 1) Reorder the terms: 2(-3 + 5x) = -5(x + 1) (-3 * 2 + 5x * 2) = -5(x + 1) (-6 + 10x) = -5(x + 1) Reorder the terms: -6 + 10x = -5(1 + x) -6 + 10x = (1 * -5 + x * -5) -6 + 10x = (-5 + -5x) Solving -6 + 10x = -5 + -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. -6 + 10x + 5x = -5 + -5x + 5x Combine like terms: 10x + 5x = 15x -6 + 15x = -5 + -5x + 5x Combine like terms: -5x + 5x = 0 -6 + 15x = -5 + 0 -6 + 15x = -5 Add '6' to each side of the equation. -6 + 6 + 15x = -5 + 6 Combine like terms: -6 + 6 = 0 0 + 15x = -5 + 6 15x = -5 + 6 Combine like terms: -5 + 6 = 1 15x = 1 Divide each side by '15'. x = 0.06666666667 Simplifying x = 0.06666666667
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