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Simplifying 5(x + -4) + -3(6x + -2) = 100 Reorder the terms: 5(-4 + x) + -3(6x + -2) = 100 (-4 * 5 + x * 5) + -3(6x + -2) = 100 (-20 + 5x) + -3(6x + -2) = 100 Reorder the terms: -20 + 5x + -3(-2 + 6x) = 100 -20 + 5x + (-2 * -3 + 6x * -3) = 100 -20 + 5x + (6 + -18x) = 100 Reorder the terms: -20 + 6 + 5x + -18x = 100 Combine like terms: -20 + 6 = -14 -14 + 5x + -18x = 100 Combine like terms: 5x + -18x = -13x -14 + -13x = 100 Solving -14 + -13x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -13x = 100 + 14 Combine like terms: -14 + 14 = 0 0 + -13x = 100 + 14 -13x = 100 + 14 Combine like terms: 100 + 14 = 114 -13x = 114 Divide each side by '-13'. x = -8.769230769 Simplifying x = -8.769230769
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