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Simplifying 10 + 4(6 + -5x) = 6 + -13x 10 + (6 * 4 + -5x * 4) = 6 + -13x 10 + (24 + -20x) = 6 + -13x Combine like terms: 10 + 24 = 34 34 + -20x = 6 + -13x Solving 34 + -20x = 6 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 34 + -20x + 13x = 6 + -13x + 13x Combine like terms: -20x + 13x = -7x 34 + -7x = 6 + -13x + 13x Combine like terms: -13x + 13x = 0 34 + -7x = 6 + 0 34 + -7x = 6 Add '-34' to each side of the equation. 34 + -34 + -7x = 6 + -34 Combine like terms: 34 + -34 = 0 0 + -7x = 6 + -34 -7x = 6 + -34 Combine like terms: 6 + -34 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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