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Simplifying 5(x + 9) + -1x = 19 + -1(3x + 9) Reorder the terms: 5(9 + x) + -1x = 19 + -1(3x + 9) (9 * 5 + x * 5) + -1x = 19 + -1(3x + 9) (45 + 5x) + -1x = 19 + -1(3x + 9) Combine like terms: 5x + -1x = 4x 45 + 4x = 19 + -1(3x + 9) Reorder the terms: 45 + 4x = 19 + -1(9 + 3x) 45 + 4x = 19 + (9 * -1 + 3x * -1) 45 + 4x = 19 + (-9 + -3x) Combine like terms: 19 + -9 = 10 45 + 4x = 10 + -3x Solving 45 + 4x = 10 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 45 + 4x + 3x = 10 + -3x + 3x Combine like terms: 4x + 3x = 7x 45 + 7x = 10 + -3x + 3x Combine like terms: -3x + 3x = 0 45 + 7x = 10 + 0 45 + 7x = 10 Add '-45' to each side of the equation. 45 + -45 + 7x = 10 + -45 Combine like terms: 45 + -45 = 0 0 + 7x = 10 + -45 7x = 10 + -45 Combine like terms: 10 + -45 = -35 7x = -35 Divide each side by '7'. x = -5 Simplifying x = -5
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