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Simplifying 4x + 6 + -1 = 2(5x + 9) Reorder the terms: 6 + -1 + 4x = 2(5x + 9) Combine like terms: 6 + -1 = 5 5 + 4x = 2(5x + 9) Reorder the terms: 5 + 4x = 2(9 + 5x) 5 + 4x = (9 * 2 + 5x * 2) 5 + 4x = (18 + 10x) Solving 5 + 4x = 18 + 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. 5 + 4x + -10x = 18 + 10x + -10x Combine like terms: 4x + -10x = -6x 5 + -6x = 18 + 10x + -10x Combine like terms: 10x + -10x = 0 5 + -6x = 18 + 0 5 + -6x = 18 Add '-5' to each side of the equation. 5 + -5 + -6x = 18 + -5 Combine like terms: 5 + -5 = 0 0 + -6x = 18 + -5 -6x = 18 + -5 Combine like terms: 18 + -5 = 13 -6x = 13 Divide each side by '-6'. x = -2.166666667 Simplifying x = -2.166666667
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