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Simplifying 150 + -1(6x + 5) = 6(x + 9) + x Reorder the terms: 150 + -1(5 + 6x) = 6(x + 9) + x 150 + (5 * -1 + 6x * -1) = 6(x + 9) + x 150 + (-5 + -6x) = 6(x + 9) + x Combine like terms: 150 + -5 = 145 145 + -6x = 6(x + 9) + x Reorder the terms: 145 + -6x = 6(9 + x) + x 145 + -6x = (9 * 6 + x * 6) + x 145 + -6x = (54 + 6x) + x Combine like terms: 6x + x = 7x 145 + -6x = 54 + 7x Solving 145 + -6x = 54 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 145 + -6x + -7x = 54 + 7x + -7x Combine like terms: -6x + -7x = -13x 145 + -13x = 54 + 7x + -7x Combine like terms: 7x + -7x = 0 145 + -13x = 54 + 0 145 + -13x = 54 Add '-145' to each side of the equation. 145 + -145 + -13x = 54 + -145 Combine like terms: 145 + -145 = 0 0 + -13x = 54 + -145 -13x = 54 + -145 Combine like terms: 54 + -145 = -91 -13x = -91 Divide each side by '-13'. x = 7 Simplifying x = 7
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