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Simplifying (3x + -4) + (-2x + -1) + -5(x + -3) = 0 Reorder the terms: (-4 + 3x) + (-2x + -1) + -5(x + -3) = 0 Remove parenthesis around (-4 + 3x) -4 + 3x + (-2x + -1) + -5(x + -3) = 0 Reorder the terms: -4 + 3x + (-1 + -2x) + -5(x + -3) = 0 Remove parenthesis around (-1 + -2x) -4 + 3x + -1 + -2x + -5(x + -3) = 0 Reorder the terms: -4 + 3x + -1 + -2x + -5(-3 + x) = 0 -4 + 3x + -1 + -2x + (-3 * -5 + x * -5) = 0 -4 + 3x + -1 + -2x + (15 + -5x) = 0 Reorder the terms: -4 + -1 + 15 + 3x + -2x + -5x = 0 Combine like terms: -4 + -1 = -5 -5 + 15 + 3x + -2x + -5x = 0 Combine like terms: -5 + 15 = 10 10 + 3x + -2x + -5x = 0 Combine like terms: 3x + -2x = 1x 10 + 1x + -5x = 0 Combine like terms: 1x + -5x = -4x 10 + -4x = 0 Solving 10 + -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -4x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = 0 + -10 -4x = 0 + -10 Combine like terms: 0 + -10 = -10 -4x = -10 Divide each side by '-4'. x = 2.5 Simplifying x = 2.5
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