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Simplifying 5(x + -3) + 7(6 + -1x) = 0 Reorder the terms: 5(-3 + x) + 7(6 + -1x) = 0 (-3 * 5 + x * 5) + 7(6 + -1x) = 0 (-15 + 5x) + 7(6 + -1x) = 0 -15 + 5x + (6 * 7 + -1x * 7) = 0 -15 + 5x + (42 + -7x) = 0 Reorder the terms: -15 + 42 + 5x + -7x = 0 Combine like terms: -15 + 42 = 27 27 + 5x + -7x = 0 Combine like terms: 5x + -7x = -2x 27 + -2x = 0 Solving 27 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -2x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -2x = 0 + -27 -2x = 0 + -27 Combine like terms: 0 + -27 = -27 -2x = -27 Divide each side by '-2'. x = 13.5 Simplifying x = 13.5
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