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Simplifying 45 + -1(6x + 4) = -9x + 20 Reorder the terms: 45 + -1(4 + 6x) = -9x + 20 45 + (4 * -1 + 6x * -1) = -9x + 20 45 + (-4 + -6x) = -9x + 20 Combine like terms: 45 + -4 = 41 41 + -6x = -9x + 20 Reorder the terms: 41 + -6x = 20 + -9x Solving 41 + -6x = 20 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 41 + -6x + 9x = 20 + -9x + 9x Combine like terms: -6x + 9x = 3x 41 + 3x = 20 + -9x + 9x Combine like terms: -9x + 9x = 0 41 + 3x = 20 + 0 41 + 3x = 20 Add '-41' to each side of the equation. 41 + -41 + 3x = 20 + -41 Combine like terms: 41 + -41 = 0 0 + 3x = 20 + -41 3x = 20 + -41 Combine like terms: 20 + -41 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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