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Simplifying 5(x + 9) + -1x = 19(3x + 9) Reorder the terms: 5(9 + x) + -1x = 19(3x + 9) (9 * 5 + x * 5) + -1x = 19(3x + 9) (45 + 5x) + -1x = 19(3x + 9) Combine like terms: 5x + -1x = 4x 45 + 4x = 19(3x + 9) Reorder the terms: 45 + 4x = 19(9 + 3x) 45 + 4x = (9 * 19 + 3x * 19) 45 + 4x = (171 + 57x) Solving 45 + 4x = 171 + 57x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-57x' to each side of the equation. 45 + 4x + -57x = 171 + 57x + -57x Combine like terms: 4x + -57x = -53x 45 + -53x = 171 + 57x + -57x Combine like terms: 57x + -57x = 0 45 + -53x = 171 + 0 45 + -53x = 171 Add '-45' to each side of the equation. 45 + -45 + -53x = 171 + -45 Combine like terms: 45 + -45 = 0 0 + -53x = 171 + -45 -53x = 171 + -45 Combine like terms: 171 + -45 = 126 -53x = 126 Divide each side by '-53'. x = -2.377358491 Simplifying x = -2.377358491
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