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Simplifying 5(2x + -3) + 2(4x + -2) = 0 Reorder the terms: 5(-3 + 2x) + 2(4x + -2) = 0 (-3 * 5 + 2x * 5) + 2(4x + -2) = 0 (-15 + 10x) + 2(4x + -2) = 0 Reorder the terms: -15 + 10x + 2(-2 + 4x) = 0 -15 + 10x + (-2 * 2 + 4x * 2) = 0 -15 + 10x + (-4 + 8x) = 0 Reorder the terms: -15 + -4 + 10x + 8x = 0 Combine like terms: -15 + -4 = -19 -19 + 10x + 8x = 0 Combine like terms: 10x + 8x = 18x -19 + 18x = 0 Solving -19 + 18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 18x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 18x = 0 + 19 18x = 0 + 19 Combine like terms: 0 + 19 = 19 18x = 19 Divide each side by '18'. x = 1.055555556 Simplifying x = 1.055555556
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