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Simplifying 6(1 + -1x) + -5(3 + -2x) = 0 (1 * 6 + -1x * 6) + -5(3 + -2x) = 0 (6 + -6x) + -5(3 + -2x) = 0 6 + -6x + (3 * -5 + -2x * -5) = 0 6 + -6x + (-15 + 10x) = 0 Reorder the terms: 6 + -15 + -6x + 10x = 0 Combine like terms: 6 + -15 = -9 -9 + -6x + 10x = 0 Combine like terms: -6x + 10x = 4x -9 + 4x = 0 Solving -9 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 4x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 4x = 0 + 9 4x = 0 + 9 Combine like terms: 0 + 9 = 9 4x = 9 Divide each side by '4'. x = 2.25 Simplifying x = 2.25
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