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Simplifying 1.8(4 + -1x) = -0.1(6 + -1x) (4 * 1.8 + -1x * 1.8) = -0.1(6 + -1x) (7.2 + -1.8x) = -0.1(6 + -1x) 7.2 + -1.8x = (6 * -0.1 + -1x * -0.1) 7.2 + -1.8x = (-0.6 + 0.1x) Solving 7.2 + -1.8x = -0.6 + 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. 7.2 + -1.8x + -0.1x = -0.6 + 0.1x + -0.1x Combine like terms: -1.8x + -0.1x = -1.9x 7.2 + -1.9x = -0.6 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 7.2 + -1.9x = -0.6 + 0.0 7.2 + -1.9x = -0.6 Add '-7.2' to each side of the equation. 7.2 + -7.2 + -1.9x = -0.6 + -7.2 Combine like terms: 7.2 + -7.2 = 0.0 0.0 + -1.9x = -0.6 + -7.2 -1.9x = -0.6 + -7.2 Combine like terms: -0.6 + -7.2 = -7.8 -1.9x = -7.8 Divide each side by '-1.9'. x = 4.105263158 Simplifying x = 4.105263158
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