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Simplifying 36 + -42x = 6(7x + 8) Reorder the terms: 36 + -42x = 6(8 + 7x) 36 + -42x = (8 * 6 + 7x * 6) 36 + -42x = (48 + 42x) Solving 36 + -42x = 48 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 36 + -42x + -42x = 48 + 42x + -42x Combine like terms: -42x + -42x = -84x 36 + -84x = 48 + 42x + -42x Combine like terms: 42x + -42x = 0 36 + -84x = 48 + 0 36 + -84x = 48 Add '-36' to each side of the equation. 36 + -36 + -84x = 48 + -36 Combine like terms: 36 + -36 = 0 0 + -84x = 48 + -36 -84x = 48 + -36 Combine like terms: 48 + -36 = 12 -84x = 12 Divide each side by '-84'. x = -0.1428571429 Simplifying x = -0.1428571429
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