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Simplifying 5(x + -3) + -4(2x + -1) = 100 Reorder the terms: 5(-3 + x) + -4(2x + -1) = 100 (-3 * 5 + x * 5) + -4(2x + -1) = 100 (-15 + 5x) + -4(2x + -1) = 100 Reorder the terms: -15 + 5x + -4(-1 + 2x) = 100 -15 + 5x + (-1 * -4 + 2x * -4) = 100 -15 + 5x + (4 + -8x) = 100 Reorder the terms: -15 + 4 + 5x + -8x = 100 Combine like terms: -15 + 4 = -11 -11 + 5x + -8x = 100 Combine like terms: 5x + -8x = -3x -11 + -3x = 100 Solving -11 + -3x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -3x = 100 + 11 Combine like terms: -11 + 11 = 0 0 + -3x = 100 + 11 -3x = 100 + 11 Combine like terms: 100 + 11 = 111 -3x = 111 Divide each side by '-3'. x = -37 Simplifying x = -37
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