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Simplifying 36 + -6x = 6x + 8(1 + -5x) 36 + -6x = 6x + (1 * 8 + -5x * 8) 36 + -6x = 6x + (8 + -40x) Reorder the terms: 36 + -6x = 8 + 6x + -40x Combine like terms: 6x + -40x = -34x 36 + -6x = 8 + -34x Solving 36 + -6x = 8 + -34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34x' to each side of the equation. 36 + -6x + 34x = 8 + -34x + 34x Combine like terms: -6x + 34x = 28x 36 + 28x = 8 + -34x + 34x Combine like terms: -34x + 34x = 0 36 + 28x = 8 + 0 36 + 28x = 8 Add '-36' to each side of the equation. 36 + -36 + 28x = 8 + -36 Combine like terms: 36 + -36 = 0 0 + 28x = 8 + -36 28x = 8 + -36 Combine like terms: 8 + -36 = -28 28x = -28 Divide each side by '28'. x = -1 Simplifying x = -1
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