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Simplifying 1.9(4 + -1x) = -0.9(8 + -1x) (4 * 1.9 + -1x * 1.9) = -0.9(8 + -1x) (7.6 + -1.9x) = -0.9(8 + -1x) 7.6 + -1.9x = (8 * -0.9 + -1x * -0.9) 7.6 + -1.9x = (-7.2 + 0.9x) Solving 7.6 + -1.9x = -7.2 + 0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9x' to each side of the equation. 7.6 + -1.9x + -0.9x = -7.2 + 0.9x + -0.9x Combine like terms: -1.9x + -0.9x = -2.8x 7.6 + -2.8x = -7.2 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 7.6 + -2.8x = -7.2 + 0.0 7.6 + -2.8x = -7.2 Add '-7.6' to each side of the equation. 7.6 + -7.6 + -2.8x = -7.2 + -7.6 Combine like terms: 7.6 + -7.6 = 0.0 0.0 + -2.8x = -7.2 + -7.6 -2.8x = -7.2 + -7.6 Combine like terms: -7.2 + -7.6 = -14.8 -2.8x = -14.8 Divide each side by '-2.8'. x = 5.285714286 Simplifying x = 5.285714286
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