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Simplifying 5(1 + -9x) + -3 = 12 + 5(22 + -1x) (1 * 5 + -9x * 5) + -3 = 12 + 5(22 + -1x) (5 + -45x) + -3 = 12 + 5(22 + -1x) Reorder the terms: 5 + -3 + -45x = 12 + 5(22 + -1x) Combine like terms: 5 + -3 = 2 2 + -45x = 12 + 5(22 + -1x) 2 + -45x = 12 + (22 * 5 + -1x * 5) 2 + -45x = 12 + (110 + -5x) Combine like terms: 12 + 110 = 122 2 + -45x = 122 + -5x Solving 2 + -45x = 122 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 2 + -45x + 5x = 122 + -5x + 5x Combine like terms: -45x + 5x = -40x 2 + -40x = 122 + -5x + 5x Combine like terms: -5x + 5x = 0 2 + -40x = 122 + 0 2 + -40x = 122 Add '-2' to each side of the equation. 2 + -2 + -40x = 122 + -2 Combine like terms: 2 + -2 = 0 0 + -40x = 122 + -2 -40x = 122 + -2 Combine like terms: 122 + -2 = 120 -40x = 120 Divide each side by '-40'. x = -3 Simplifying x = -3
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