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Simplifying 8.2 = 2.8(3x + -2) Reorder the terms: 8.2 = 2.8(-2 + 3x) 8.2 = (-2 * 2.8 + 3x * 2.8) 8.2 = (-5.6 + 8.4x) Solving 8.2 = -5.6 + 8.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8.4x' to each side of the equation. 8.2 + -8.4x = -5.6 + 8.4x + -8.4x Combine like terms: 8.4x + -8.4x = 0.0 8.2 + -8.4x = -5.6 + 0.0 8.2 + -8.4x = -5.6 Add '-8.2' to each side of the equation. 8.2 + -8.2 + -8.4x = -5.6 + -8.2 Combine like terms: 8.2 + -8.2 = 0.0 0.0 + -8.4x = -5.6 + -8.2 -8.4x = -5.6 + -8.2 Combine like terms: -5.6 + -8.2 = -13.8 -8.4x = -13.8 Divide each side by '-8.4'. x = 1.642857143 Simplifying x = 1.642857143
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