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Simplifying 0.4(6 + 12) = 1.2 + -1(x + 2) Combine like terms: 6 + 12 = 18 0.4(18) = 1.2 + -1(x + 2) Multiply 0.4 * 18 7.2 = 1.2 + -1(x + 2) Reorder the terms: 7.2 = 1.2 + -1(2 + x) 7.2 = 1.2 + (2 * -1 + x * -1) 7.2 = 1.2 + (-2 + -1x) Combine like terms: 1.2 + -2 = -0.8 7.2 = -0.8 + -1x Solving 7.2 = -0.8 + -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. 7.2 + x = -0.8 + -1x + x Combine like terms: -1x + x = 0 7.2 + x = -0.8 + 0 7.2 + x = -0.8 Add '-7.2' to each side of the equation. 7.2 + -7.2 + x = -0.8 + -7.2 Combine like terms: 7.2 + -7.2 = 0.0 0.0 + x = -0.8 + -7.2 x = -0.8 + -7.2 Combine like terms: -0.8 + -7.2 = -8 x = -8 Simplifying x = -8
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