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Simplifying 5(2x + -3) + -2(3x + 1) = 0 Reorder the terms: 5(-3 + 2x) + -2(3x + 1) = 0 (-3 * 5 + 2x * 5) + -2(3x + 1) = 0 (-15 + 10x) + -2(3x + 1) = 0 Reorder the terms: -15 + 10x + -2(1 + 3x) = 0 -15 + 10x + (1 * -2 + 3x * -2) = 0 -15 + 10x + (-2 + -6x) = 0 Reorder the terms: -15 + -2 + 10x + -6x = 0 Combine like terms: -15 + -2 = -17 -17 + 10x + -6x = 0 Combine like terms: 10x + -6x = 4x -17 + 4x = 0 Solving -17 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 4x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 4x = 0 + 17 4x = 0 + 17 Combine like terms: 0 + 17 = 17 4x = 17 Divide each side by '4'. x = 4.25 Simplifying x = 4.25
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