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Simplifying 3(2x + -3) + 4(x + -5) = 0 Reorder the terms: 3(-3 + 2x) + 4(x + -5) = 0 (-3 * 3 + 2x * 3) + 4(x + -5) = 0 (-9 + 6x) + 4(x + -5) = 0 Reorder the terms: -9 + 6x + 4(-5 + x) = 0 -9 + 6x + (-5 * 4 + x * 4) = 0 -9 + 6x + (-20 + 4x) = 0 Reorder the terms: -9 + -20 + 6x + 4x = 0 Combine like terms: -9 + -20 = -29 -29 + 6x + 4x = 0 Combine like terms: 6x + 4x = 10x -29 + 10x = 0 Solving -29 + 10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 10x = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 10x = 0 + 29 10x = 0 + 29 Combine like terms: 0 + 29 = 29 10x = 29 Divide each side by '10'. x = 2.9 Simplifying x = 2.9
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