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Simplifying -45(x + -46) = x + (-78) Reorder the terms: -45(-46 + x) = x + (-78) (-46 * -45 + x * -45) = x + (-78) (2070 + -45x) = x + (-78) 2070 + -45x = x + -78 Reorder the terms: 2070 + -45x = -78 + x Solving 2070 + -45x = -78 + x 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. 2070 + -45x + -1x = -78 + x + -1x Combine like terms: -45x + -1x = -46x 2070 + -46x = -78 + x + -1x Combine like terms: x + -1x = 0 2070 + -46x = -78 + 0 2070 + -46x = -78 Add '-2070' to each side of the equation. 2070 + -2070 + -46x = -78 + -2070 Combine like terms: 2070 + -2070 = 0 0 + -46x = -78 + -2070 -46x = -78 + -2070 Combine like terms: -78 + -2070 = -2148 -46x = -2148 Divide each side by '-46'. x = 46.69565217 Simplifying x = 46.69565217
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