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Simplifying 0.9(6x + 12) = 1.5 + -1(x + 2) Reorder the terms: 0.9(12 + 6x) = 1.5 + -1(x + 2) (12 * 0.9 + 6x * 0.9) = 1.5 + -1(x + 2) (10.8 + 5.4x) = 1.5 + -1(x + 2) Reorder the terms: 10.8 + 5.4x = 1.5 + -1(2 + x) 10.8 + 5.4x = 1.5 + (2 * -1 + x * -1) 10.8 + 5.4x = 1.5 + (-2 + -1x) Combine like terms: 1.5 + -2 = -0.5 10.8 + 5.4x = -0.5 + -1x Solving 10.8 + 5.4x = -0.5 + -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. 10.8 + 5.4x + x = -0.5 + -1x + x Combine like terms: 5.4x + x = 6.4x 10.8 + 6.4x = -0.5 + -1x + x Combine like terms: -1x + x = 0 10.8 + 6.4x = -0.5 + 0 10.8 + 6.4x = -0.5 Add '-10.8' to each side of the equation. 10.8 + -10.8 + 6.4x = -0.5 + -10.8 Combine like terms: 10.8 + -10.8 = 0.0 0.0 + 6.4x = -0.5 + -10.8 6.4x = -0.5 + -10.8 Combine like terms: -0.5 + -10.8 = -11.3 6.4x = -11.3 Divide each side by '6.4'. x = -1.765625 Simplifying x = -1.765625
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