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Simplifying 6.52 + 2.31x = 0.08(3x + -22) Reorder the terms: 6.52 + 2.31x = 0.08(-22 + 3x) 6.52 + 2.31x = (-22 * 0.08 + 3x * 0.08) 6.52 + 2.31x = (-1.76 + 0.24x) Solving 6.52 + 2.31x = -1.76 + 0.24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.24x' to each side of the equation. 6.52 + 2.31x + -0.24x = -1.76 + 0.24x + -0.24x Combine like terms: 2.31x + -0.24x = 2.07x 6.52 + 2.07x = -1.76 + 0.24x + -0.24x Combine like terms: 0.24x + -0.24x = 0.00 6.52 + 2.07x = -1.76 + 0.00 6.52 + 2.07x = -1.76 Add '-6.52' to each side of the equation. 6.52 + -6.52 + 2.07x = -1.76 + -6.52 Combine like terms: 6.52 + -6.52 = 0.00 0.00 + 2.07x = -1.76 + -6.52 2.07x = -1.76 + -6.52 Combine like terms: -1.76 + -6.52 = -8.28 2.07x = -8.28 Divide each side by '2.07'. x = -4 Simplifying x = -4
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