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Simplifying 42(4x + 50) = x + -7 Reorder the terms: 42(50 + 4x) = x + -7 (50 * 42 + 4x * 42) = x + -7 (2100 + 168x) = x + -7 Reorder the terms: 2100 + 168x = -7 + x Solving 2100 + 168x = -7 + 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. 2100 + 168x + -1x = -7 + x + -1x Combine like terms: 168x + -1x = 167x 2100 + 167x = -7 + x + -1x Combine like terms: x + -1x = 0 2100 + 167x = -7 + 0 2100 + 167x = -7 Add '-2100' to each side of the equation. 2100 + -2100 + 167x = -7 + -2100 Combine like terms: 2100 + -2100 = 0 0 + 167x = -7 + -2100 167x = -7 + -2100 Combine like terms: -7 + -2100 = -2107 167x = -2107 Divide each side by '167'. x = -12.61676647 Simplifying x = -12.61676647
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