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Simplifying 70(3x + 6) = 150 + -1(x + 2) Reorder the terms: 70(6 + 3x) = 150 + -1(x + 2) (6 * 70 + 3x * 70) = 150 + -1(x + 2) (420 + 210x) = 150 + -1(x + 2) Reorder the terms: 420 + 210x = 150 + -1(2 + x) 420 + 210x = 150 + (2 * -1 + x * -1) 420 + 210x = 150 + (-2 + -1x) Combine like terms: 150 + -2 = 148 420 + 210x = 148 + -1x Solving 420 + 210x = 148 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 420 + 210x + x = 148 + -1x + x Combine like terms: 210x + x = 211x 420 + 211x = 148 + -1x + x Combine like terms: -1x + x = 0 420 + 211x = 148 + 0 420 + 211x = 148 Add '-420' to each side of the equation. 420 + -420 + 211x = 148 + -420 Combine like terms: 420 + -420 = 0 0 + 211x = 148 + -420 211x = 148 + -420 Combine like terms: 148 + -420 = -272 211x = -272 Divide each side by '211'. x = -1.289099526 Simplifying x = -1.289099526
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