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Simplifying 0.9(5x + 14) = 1.8 + -1(x + 2) Reorder the terms: 0.9(14 + 5x) = 1.8 + -1(x + 2) (14 * 0.9 + 5x * 0.9) = 1.8 + -1(x + 2) (12.6 + 4.5x) = 1.8 + -1(x + 2) Reorder the terms: 12.6 + 4.5x = 1.8 + -1(2 + x) 12.6 + 4.5x = 1.8 + (2 * -1 + x * -1) 12.6 + 4.5x = 1.8 + (-2 + -1x) Combine like terms: 1.8 + -2 = -0.2 12.6 + 4.5x = -0.2 + -1x Solving 12.6 + 4.5x = -0.2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 12.6 + 4.5x + x = -0.2 + -1x + x Combine like terms: 4.5x + x = 5.5x 12.6 + 5.5x = -0.2 + -1x + x Combine like terms: -1x + x = 0 12.6 + 5.5x = -0.2 + 0 12.6 + 5.5x = -0.2 Add '-12.6' to each side of the equation. 12.6 + -12.6 + 5.5x = -0.2 + -12.6 Combine like terms: 12.6 + -12.6 = 0.0 0.0 + 5.5x = -0.2 + -12.6 5.5x = -0.2 + -12.6 Combine like terms: -0.2 + -12.6 = -12.8 5.5x = -12.8 Divide each side by '5.5'. x = -2.327272727 Simplifying x = -2.327272727
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