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Simplifying 4(7x + 9) + -2x = 15x + -2(x + -5) Reorder the terms: 4(9 + 7x) + -2x = 15x + -2(x + -5) (9 * 4 + 7x * 4) + -2x = 15x + -2(x + -5) (36 + 28x) + -2x = 15x + -2(x + -5) Combine like terms: 28x + -2x = 26x 36 + 26x = 15x + -2(x + -5) Reorder the terms: 36 + 26x = 15x + -2(-5 + x) 36 + 26x = 15x + (-5 * -2 + x * -2) 36 + 26x = 15x + (10 + -2x) Reorder the terms: 36 + 26x = 10 + 15x + -2x Combine like terms: 15x + -2x = 13x 36 + 26x = 10 + 13x Solving 36 + 26x = 10 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 36 + 26x + -13x = 10 + 13x + -13x Combine like terms: 26x + -13x = 13x 36 + 13x = 10 + 13x + -13x Combine like terms: 13x + -13x = 0 36 + 13x = 10 + 0 36 + 13x = 10 Add '-36' to each side of the equation. 36 + -36 + 13x = 10 + -36 Combine like terms: 36 + -36 = 0 0 + 13x = 10 + -36 13x = 10 + -36 Combine like terms: 10 + -36 = -26 13x = -26 Divide each side by '13'. x = -2 Simplifying x = -2
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