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Simplifying 1078 = -14(-14x + 21) Reorder the terms: 1078 = -14(21 + -14x) 1078 = (21 * -14 + -14x * -14) 1078 = (-294 + 196x) Solving 1078 = -294 + 196x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-196x' to each side of the equation. 1078 + -196x = -294 + 196x + -196x Combine like terms: 196x + -196x = 0 1078 + -196x = -294 + 0 1078 + -196x = -294 Add '-1078' to each side of the equation. 1078 + -1078 + -196x = -294 + -1078 Combine like terms: 1078 + -1078 = 0 0 + -196x = -294 + -1078 -196x = -294 + -1078 Combine like terms: -294 + -1078 = -1372 -196x = -1372 Divide each side by '-196'. x = 7 Simplifying x = 7
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