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Simplifying 5(2x + -1) + -2(1 + 3x) = 0 Reorder the terms: 5(-1 + 2x) + -2(1 + 3x) = 0 (-1 * 5 + 2x * 5) + -2(1 + 3x) = 0 (-5 + 10x) + -2(1 + 3x) = 0 -5 + 10x + (1 * -2 + 3x * -2) = 0 -5 + 10x + (-2 + -6x) = 0 Reorder the terms: -5 + -2 + 10x + -6x = 0 Combine like terms: -5 + -2 = -7 -7 + 10x + -6x = 0 Combine like terms: 10x + -6x = 4x -7 + 4x = 0 Solving -7 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 4x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = 0 + 7 4x = 0 + 7 Combine like terms: 0 + 7 = 7 4x = 7 Divide each side by '4'. x = 1.75 Simplifying x = 1.75
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