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Simplifying 3(8.2 + -1x) + 7(-1x + -0.2) = 0 (8.2 * 3 + -1x * 3) + 7(-1x + -0.2) = 0 (24.6 + -3x) + 7(-1x + -0.2) = 0 Reorder the terms: 24.6 + -3x + 7(-0.2 + -1x) = 0 24.6 + -3x + (-0.2 * 7 + -1x * 7) = 0 24.6 + -3x + (-1.4 + -7x) = 0 Reorder the terms: 24.6 + -1.4 + -3x + -7x = 0 Combine like terms: 24.6 + -1.4 = 23.2 23.2 + -3x + -7x = 0 Combine like terms: -3x + -7x = -10x 23.2 + -10x = 0 Solving 23.2 + -10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23.2' to each side of the equation. 23.2 + -23.2 + -10x = 0 + -23.2 Combine like terms: 23.2 + -23.2 = 0.0 0.0 + -10x = 0 + -23.2 -10x = 0 + -23.2 Combine like terms: 0 + -23.2 = -23.2 -10x = -23.2 Divide each side by '-10'. x = 2.32 Simplifying x = 2.32
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