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Simplifying 8.2(x + 0.8) + -12.2 = 3(x + 6) + -7 Reorder the terms: 8.2(0.8 + x) + -12.2 = 3(x + 6) + -7 (0.8 * 8.2 + x * 8.2) + -12.2 = 3(x + 6) + -7 (6.56 + 8.2x) + -12.2 = 3(x + 6) + -7 Reorder the terms: 6.56 + -12.2 + 8.2x = 3(x + 6) + -7 Combine like terms: 6.56 + -12.2 = -5.64 -5.64 + 8.2x = 3(x + 6) + -7 Reorder the terms: -5.64 + 8.2x = 3(6 + x) + -7 -5.64 + 8.2x = (6 * 3 + x * 3) + -7 -5.64 + 8.2x = (18 + 3x) + -7 Reorder the terms: -5.64 + 8.2x = 18 + -7 + 3x Combine like terms: 18 + -7 = 11 -5.64 + 8.2x = 11 + 3x Solving -5.64 + 8.2x = 11 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -5.64 + 8.2x + -3x = 11 + 3x + -3x Combine like terms: 8.2x + -3x = 5.2x -5.64 + 5.2x = 11 + 3x + -3x Combine like terms: 3x + -3x = 0 -5.64 + 5.2x = 11 + 0 -5.64 + 5.2x = 11 Add '5.64' to each side of the equation. -5.64 + 5.64 + 5.2x = 11 + 5.64 Combine like terms: -5.64 + 5.64 = 0.00 0.00 + 5.2x = 11 + 5.64 5.2x = 11 + 5.64 Combine like terms: 11 + 5.64 = 16.64 5.2x = 16.64 Divide each side by '5.2'. x = 3.2 Simplifying x = 3.2
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