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Simplifying 8.2(x + 1.9) = 6.9(x + -8.7) Reorder the terms: 8.2(1.9 + x) = 6.9(x + -8.7) (1.9 * 8.2 + x * 8.2) = 6.9(x + -8.7) (15.58 + 8.2x) = 6.9(x + -8.7) Reorder the terms: 15.58 + 8.2x = 6.9(-8.7 + x) 15.58 + 8.2x = (-8.7 * 6.9 + x * 6.9) 15.58 + 8.2x = (-60.03 + 6.9x) Solving 15.58 + 8.2x = -60.03 + 6.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.9x' to each side of the equation. 15.58 + 8.2x + -6.9x = -60.03 + 6.9x + -6.9x Combine like terms: 8.2x + -6.9x = 1.3x 15.58 + 1.3x = -60.03 + 6.9x + -6.9x Combine like terms: 6.9x + -6.9x = 0.0 15.58 + 1.3x = -60.03 + 0.0 15.58 + 1.3x = -60.03 Add '-15.58' to each side of the equation. 15.58 + -15.58 + 1.3x = -60.03 + -15.58 Combine like terms: 15.58 + -15.58 = 0.00 0.00 + 1.3x = -60.03 + -15.58 1.3x = -60.03 + -15.58 Combine like terms: -60.03 + -15.58 = -75.61 1.3x = -75.61 Divide each side by '1.3'. x = -58.16153846 Simplifying x = -58.16153846
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