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Simplifying 5(2x + -3) = -1(4x + -3) Reorder the terms: 5(-3 + 2x) = -1(4x + -3) (-3 * 5 + 2x * 5) = -1(4x + -3) (-15 + 10x) = -1(4x + -3) Reorder the terms: -15 + 10x = -1(-3 + 4x) -15 + 10x = (-3 * -1 + 4x * -1) -15 + 10x = (3 + -4x) Solving -15 + 10x = 3 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -15 + 10x + 4x = 3 + -4x + 4x Combine like terms: 10x + 4x = 14x -15 + 14x = 3 + -4x + 4x Combine like terms: -4x + 4x = 0 -15 + 14x = 3 + 0 -15 + 14x = 3 Add '15' to each side of the equation. -15 + 15 + 14x = 3 + 15 Combine like terms: -15 + 15 = 0 0 + 14x = 3 + 15 14x = 3 + 15 Combine like terms: 3 + 15 = 18 14x = 18 Divide each side by '14'. x = 1.285714286 Simplifying x = 1.285714286
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