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Simplifying 5(2x + -3) = -1(x + 3) Reorder the terms: 5(-3 + 2x) = -1(x + 3) (-3 * 5 + 2x * 5) = -1(x + 3) (-15 + 10x) = -1(x + 3) Reorder the terms: -15 + 10x = -1(3 + x) -15 + 10x = (3 * -1 + x * -1) -15 + 10x = (-3 + -1x) Solving -15 + 10x = -3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -15 + 10x + x = -3 + -1x + x Combine like terms: 10x + x = 11x -15 + 11x = -3 + -1x + x Combine like terms: -1x + x = 0 -15 + 11x = -3 + 0 -15 + 11x = -3 Add '15' to each side of the equation. -15 + 15 + 11x = -3 + 15 Combine like terms: -15 + 15 = 0 0 + 11x = -3 + 15 11x = -3 + 15 Combine like terms: -3 + 15 = 12 11x = 12 Divide each side by '11'. x = 1.090909091 Simplifying x = 1.090909091
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