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Simplifying 5(13x + -22) = 3 + -2(x + 4) Reorder the terms: 5(-22 + 13x) = 3 + -2(x + 4) (-22 * 5 + 13x * 5) = 3 + -2(x + 4) (-110 + 65x) = 3 + -2(x + 4) Reorder the terms: -110 + 65x = 3 + -2(4 + x) -110 + 65x = 3 + (4 * -2 + x * -2) -110 + 65x = 3 + (-8 + -2x) Combine like terms: 3 + -8 = -5 -110 + 65x = -5 + -2x Solving -110 + 65x = -5 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -110 + 65x + 2x = -5 + -2x + 2x Combine like terms: 65x + 2x = 67x -110 + 67x = -5 + -2x + 2x Combine like terms: -2x + 2x = 0 -110 + 67x = -5 + 0 -110 + 67x = -5 Add '110' to each side of the equation. -110 + 110 + 67x = -5 + 110 Combine like terms: -110 + 110 = 0 0 + 67x = -5 + 110 67x = -5 + 110 Combine like terms: -5 + 110 = 105 67x = 105 Divide each side by '67'. x = 1.567164179 Simplifying x = 1.567164179
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