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Simplifying 2.3(7 + -1x) = -0.9(9 + -1x) (7 * 2.3 + -1x * 2.3) = -0.9(9 + -1x) (16.1 + -2.3x) = -0.9(9 + -1x) 16.1 + -2.3x = (9 * -0.9 + -1x * -0.9) 16.1 + -2.3x = (-8.1 + 0.9x) Solving 16.1 + -2.3x = -8.1 + 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. 16.1 + -2.3x + -0.9x = -8.1 + 0.9x + -0.9x Combine like terms: -2.3x + -0.9x = -3.2x 16.1 + -3.2x = -8.1 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 16.1 + -3.2x = -8.1 + 0.0 16.1 + -3.2x = -8.1 Add '-16.1' to each side of the equation. 16.1 + -16.1 + -3.2x = -8.1 + -16.1 Combine like terms: 16.1 + -16.1 = 0.0 0.0 + -3.2x = -8.1 + -16.1 -3.2x = -8.1 + -16.1 Combine like terms: -8.1 + -16.1 = -24.2 -3.2x = -24.2 Divide each side by '-3.2'. x = 7.5625 Simplifying x = 7.5625
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