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Simplifying 2.36 + -0.2(x + 0.8) = x + 0.5(0.4x + 1.2) Reorder the terms: 2.36 + -0.2(0.8 + x) = x + 0.5(0.4x + 1.2) 2.36 + (0.8 * -0.2 + x * -0.2) = x + 0.5(0.4x + 1.2) 2.36 + (-0.16 + -0.2x) = x + 0.5(0.4x + 1.2) Combine like terms: 2.36 + -0.16 = 2.2 2.2 + -0.2x = x + 0.5(0.4x + 1.2) Reorder the terms: 2.2 + -0.2x = x + 0.5(1.2 + 0.4x) 2.2 + -0.2x = x + (1.2 * 0.5 + 0.4x * 0.5) 2.2 + -0.2x = x + (0.6 + 0.2x) Reorder the terms: 2.2 + -0.2x = 0.6 + x + 0.2x Combine like terms: x + 0.2x = 1.2x 2.2 + -0.2x = 0.6 + 1.2x Solving 2.2 + -0.2x = 0.6 + 1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2x' to each side of the equation. 2.2 + -0.2x + -1.2x = 0.6 + 1.2x + -1.2x Combine like terms: -0.2x + -1.2x = -1.4x 2.2 + -1.4x = 0.6 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 2.2 + -1.4x = 0.6 + 0.0 2.2 + -1.4x = 0.6 Add '-2.2' to each side of the equation. 2.2 + -2.2 + -1.4x = 0.6 + -2.2 Combine like terms: 2.2 + -2.2 = 0.0 0.0 + -1.4x = 0.6 + -2.2 -1.4x = 0.6 + -2.2 Combine like terms: 0.6 + -2.2 = -1.6 -1.4x = -1.6 Divide each side by '-1.4'. x = 1.142857143 Simplifying x = 1.142857143
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