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Simplifying 5(14x + -22) = 2 + -1(x + 3) Reorder the terms: 5(-22 + 14x) = 2 + -1(x + 3) (-22 * 5 + 14x * 5) = 2 + -1(x + 3) (-110 + 70x) = 2 + -1(x + 3) Reorder the terms: -110 + 70x = 2 + -1(3 + x) -110 + 70x = 2 + (3 * -1 + x * -1) -110 + 70x = 2 + (-3 + -1x) Combine like terms: 2 + -3 = -1 -110 + 70x = -1 + -1x Solving -110 + 70x = -1 + -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. -110 + 70x + x = -1 + -1x + x Combine like terms: 70x + x = 71x -110 + 71x = -1 + -1x + x Combine like terms: -1x + x = 0 -110 + 71x = -1 + 0 -110 + 71x = -1 Add '110' to each side of the equation. -110 + 110 + 71x = -1 + 110 Combine like terms: -110 + 110 = 0 0 + 71x = -1 + 110 71x = -1 + 110 Combine like terms: -1 + 110 = 109 71x = 109 Divide each side by '71'. x = 1.535211268 Simplifying x = 1.535211268
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