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Simplifying 0.4(3x + 6) = 1.6 + -1(x + 2) Reorder the terms: 0.4(6 + 3x) = 1.6 + -1(x + 2) (6 * 0.4 + 3x * 0.4) = 1.6 + -1(x + 2) (2.4 + 1.2x) = 1.6 + -1(x + 2) Reorder the terms: 2.4 + 1.2x = 1.6 + -1(2 + x) 2.4 + 1.2x = 1.6 + (2 * -1 + x * -1) 2.4 + 1.2x = 1.6 + (-2 + -1x) Combine like terms: 1.6 + -2 = -0.4 2.4 + 1.2x = -0.4 + -1x Solving 2.4 + 1.2x = -0.4 + -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. 2.4 + 1.2x + x = -0.4 + -1x + x Combine like terms: 1.2x + x = 2.2x 2.4 + 2.2x = -0.4 + -1x + x Combine like terms: -1x + x = 0 2.4 + 2.2x = -0.4 + 0 2.4 + 2.2x = -0.4 Add '-2.4' to each side of the equation. 2.4 + -2.4 + 2.2x = -0.4 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + 2.2x = -0.4 + -2.4 2.2x = -0.4 + -2.4 Combine like terms: -0.4 + -2.4 = -2.8 2.2x = -2.8 Divide each side by '2.2'. x = -1.272727273 Simplifying x = -1.272727273
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