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Simplifying 2.36 + -0.2(x + 0.8) = x + 0.5(0.4 + -1.2) Reorder the terms: 2.36 + -0.2(0.8 + x) = x + 0.5(0.4 + -1.2) 2.36 + (0.8 * -0.2 + x * -0.2) = x + 0.5(0.4 + -1.2) 2.36 + (-0.16 + -0.2x) = x + 0.5(0.4 + -1.2) Combine like terms: 2.36 + -0.16 = 2.2 2.2 + -0.2x = x + 0.5(0.4 + -1.2) Combine like terms: 0.4 + -1.2 = -0.8 2.2 + -0.2x = x + 0.5(-0.8) Multiply 0.5 * -0.8 2.2 + -0.2x = x + -0.4 Reorder the terms: 2.2 + -0.2x = -0.4 + x Solving 2.2 + -0.2x = -0.4 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 2.2 + -0.2x + -1x = -0.4 + x + -1x Combine like terms: -0.2x + -1x = -1.2x 2.2 + -1.2x = -0.4 + x + -1x Combine like terms: x + -1x = 0 2.2 + -1.2x = -0.4 + 0 2.2 + -1.2x = -0.4 Add '-2.2' to each side of the equation. 2.2 + -2.2 + -1.2x = -0.4 + -2.2 Combine like terms: 2.2 + -2.2 = 0.0 0.0 + -1.2x = -0.4 + -2.2 -1.2x = -0.4 + -2.2 Combine like terms: -0.4 + -2.2 = -2.6 -1.2x = -2.6 Divide each side by '-1.2'. x = 2.166666667 Simplifying x = 2.166666667
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