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Simplifying 10 + 4(6 + -5x) = 20 + -18x 10 + (6 * 4 + -5x * 4) = 20 + -18x 10 + (24 + -20x) = 20 + -18x Combine like terms: 10 + 24 = 34 34 + -20x = 20 + -18x Solving 34 + -20x = 20 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 34 + -20x + 18x = 20 + -18x + 18x Combine like terms: -20x + 18x = -2x 34 + -2x = 20 + -18x + 18x Combine like terms: -18x + 18x = 0 34 + -2x = 20 + 0 34 + -2x = 20 Add '-34' to each side of the equation. 34 + -34 + -2x = 20 + -34 Combine like terms: 34 + -34 = 0 0 + -2x = 20 + -34 -2x = 20 + -34 Combine like terms: 20 + -34 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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