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Simplifying 1.2(7 + -1x) = -0.1(3 + -1x) (7 * 1.2 + -1x * 1.2) = -0.1(3 + -1x) (8.4 + -1.2x) = -0.1(3 + -1x) 8.4 + -1.2x = (3 * -0.1 + -1x * -0.1) 8.4 + -1.2x = (-0.3 + 0.1x) Solving 8.4 + -1.2x = -0.3 + 0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1x' to each side of the equation. 8.4 + -1.2x + -0.1x = -0.3 + 0.1x + -0.1x Combine like terms: -1.2x + -0.1x = -1.3x 8.4 + -1.3x = -0.3 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 8.4 + -1.3x = -0.3 + 0.0 8.4 + -1.3x = -0.3 Add '-8.4' to each side of the equation. 8.4 + -8.4 + -1.3x = -0.3 + -8.4 Combine like terms: 8.4 + -8.4 = 0.0 0.0 + -1.3x = -0.3 + -8.4 -1.3x = -0.3 + -8.4 Combine like terms: -0.3 + -8.4 = -8.7 -1.3x = -8.7 Divide each side by '-1.3'. x = 6.692307692 Simplifying x = 6.692307692
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