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Simplifying -5(x + 6) + 3(x + 4) = 20 Reorder the terms: -5(6 + x) + 3(x + 4) = 20 (6 * -5 + x * -5) + 3(x + 4) = 20 (-30 + -5x) + 3(x + 4) = 20 Reorder the terms: -30 + -5x + 3(4 + x) = 20 -30 + -5x + (4 * 3 + x * 3) = 20 -30 + -5x + (12 + 3x) = 20 Reorder the terms: -30 + 12 + -5x + 3x = 20 Combine like terms: -30 + 12 = -18 -18 + -5x + 3x = 20 Combine like terms: -5x + 3x = -2x -18 + -2x = 20 Solving -18 + -2x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -2x = 20 + 18 Combine like terms: -18 + 18 = 0 0 + -2x = 20 + 18 -2x = 20 + 18 Combine like terms: 20 + 18 = 38 -2x = 38 Divide each side by '-2'. x = -19 Simplifying x = -19
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