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Simplifying 5 + -3(9x + -1) = 7x + -2(3x + -5) Reorder the terms: 5 + -3(-1 + 9x) = 7x + -2(3x + -5) 5 + (-1 * -3 + 9x * -3) = 7x + -2(3x + -5) 5 + (3 + -27x) = 7x + -2(3x + -5) Combine like terms: 5 + 3 = 8 8 + -27x = 7x + -2(3x + -5) Reorder the terms: 8 + -27x = 7x + -2(-5 + 3x) 8 + -27x = 7x + (-5 * -2 + 3x * -2) 8 + -27x = 7x + (10 + -6x) Reorder the terms: 8 + -27x = 10 + 7x + -6x Combine like terms: 7x + -6x = 1x 8 + -27x = 10 + 1x Solving 8 + -27x = 10 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 8 + -27x + -1x = 10 + 1x + -1x Combine like terms: -27x + -1x = -28x 8 + -28x = 10 + 1x + -1x Combine like terms: 1x + -1x = 0 8 + -28x = 10 + 0 8 + -28x = 10 Add '-8' to each side of the equation. 8 + -8 + -28x = 10 + -8 Combine like terms: 8 + -8 = 0 0 + -28x = 10 + -8 -28x = 10 + -8 Combine like terms: 10 + -8 = 2 -28x = 2 Divide each side by '-28'. x = -0.07142857143 Simplifying x = -0.07142857143
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