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Simplifying 4(x + -3) + -5(2x + 1) = 0 Reorder the terms: 4(-3 + x) + -5(2x + 1) = 0 (-3 * 4 + x * 4) + -5(2x + 1) = 0 (-12 + 4x) + -5(2x + 1) = 0 Reorder the terms: -12 + 4x + -5(1 + 2x) = 0 -12 + 4x + (1 * -5 + 2x * -5) = 0 -12 + 4x + (-5 + -10x) = 0 Reorder the terms: -12 + -5 + 4x + -10x = 0 Combine like terms: -12 + -5 = -17 -17 + 4x + -10x = 0 Combine like terms: 4x + -10x = -6x -17 + -6x = 0 Solving -17 + -6x = 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 + -6x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -6x = 0 + 17 -6x = 0 + 17 Combine like terms: 0 + 17 = 17 -6x = 17 Divide each side by '-6'. x = -2.833333333 Simplifying x = -2.833333333
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