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Simplifying 284 = 6(-1 + 7x) + -4 284 = (-1 * 6 + 7x * 6) + -4 284 = (-6 + 42x) + -4 Reorder the terms: 284 = -6 + -4 + 42x Combine like terms: -6 + -4 = -10 284 = -10 + 42x Solving 284 = -10 + 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. 284 + -42x = -10 + 42x + -42x Combine like terms: 42x + -42x = 0 284 + -42x = -10 + 0 284 + -42x = -10 Add '-284' to each side of the equation. 284 + -284 + -42x = -10 + -284 Combine like terms: 284 + -284 = 0 0 + -42x = -10 + -284 -42x = -10 + -284 Combine like terms: -10 + -284 = -294 -42x = -294 Divide each side by '-42'. x = 7 Simplifying x = 7
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