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Simplifying 5(x + -6) + 4(2 + -3x) = 1 Reorder the terms: 5(-6 + x) + 4(2 + -3x) = 1 (-6 * 5 + x * 5) + 4(2 + -3x) = 1 (-30 + 5x) + 4(2 + -3x) = 1 -30 + 5x + (2 * 4 + -3x * 4) = 1 -30 + 5x + (8 + -12x) = 1 Reorder the terms: -30 + 8 + 5x + -12x = 1 Combine like terms: -30 + 8 = -22 -22 + 5x + -12x = 1 Combine like terms: 5x + -12x = -7x -22 + -7x = 1 Solving -22 + -7x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -7x = 1 + 22 Combine like terms: -22 + 22 = 0 0 + -7x = 1 + 22 -7x = 1 + 22 Combine like terms: 1 + 22 = 23 -7x = 23 Divide each side by '-7'. x = -3.285714286 Simplifying x = -3.285714286
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