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Simplifying -5 + 2(3 + -4x) = 45 + -10x -5 + (3 * 2 + -4x * 2) = 45 + -10x -5 + (6 + -8x) = 45 + -10x Combine like terms: -5 + 6 = 1 1 + -8x = 45 + -10x Solving 1 + -8x = 45 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 1 + -8x + 10x = 45 + -10x + 10x Combine like terms: -8x + 10x = 2x 1 + 2x = 45 + -10x + 10x Combine like terms: -10x + 10x = 0 1 + 2x = 45 + 0 1 + 2x = 45 Add '-1' to each side of the equation. 1 + -1 + 2x = 45 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 45 + -1 2x = 45 + -1 Combine like terms: 45 + -1 = 44 2x = 44 Divide each side by '2'. x = 22 Simplifying x = 22
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