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Simplifying 5(x + -6) = 2 + 7(x + 2) + -4 Reorder the terms: 5(-6 + x) = 2 + 7(x + 2) + -4 (-6 * 5 + x * 5) = 2 + 7(x + 2) + -4 (-30 + 5x) = 2 + 7(x + 2) + -4 Reorder the terms: -30 + 5x = 2 + 7(2 + x) + -4 -30 + 5x = 2 + (2 * 7 + x * 7) + -4 -30 + 5x = 2 + (14 + 7x) + -4 Reorder the terms: -30 + 5x = 2 + 14 + -4 + 7x Combine like terms: 2 + 14 = 16 -30 + 5x = 16 + -4 + 7x Combine like terms: 16 + -4 = 12 -30 + 5x = 12 + 7x Solving -30 + 5x = 12 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -30 + 5x + -7x = 12 + 7x + -7x Combine like terms: 5x + -7x = -2x -30 + -2x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 -30 + -2x = 12 + 0 -30 + -2x = 12 Add '30' to each side of the equation. -30 + 30 + -2x = 12 + 30 Combine like terms: -30 + 30 = 0 0 + -2x = 12 + 30 -2x = 12 + 30 Combine like terms: 12 + 30 = 42 -2x = 42 Divide each side by '-2'. x = -21 Simplifying x = -21
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