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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 = -2.52 -2.52 + -0.2x = x + 0.5(0.4x + -1.2) Reorder the terms: -2.52 + -0.2x = x + 0.5(-1.2 + 0.4x) -2.52 + -0.2x = x + (-1.2 * 0.5 + 0.4x * 0.5) -2.52 + -0.2x = x + (-0.6 + 0.2x) Reorder the terms: -2.52 + -0.2x = -0.6 + x + 0.2x Combine like terms: x + 0.2x = 1.2x -2.52 + -0.2x = -0.6 + 1.2x Solving -2.52 + -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. -2.52 + -0.2x + -1.2x = -0.6 + 1.2x + -1.2x Combine like terms: -0.2x + -1.2x = -1.4x -2.52 + -1.4x = -0.6 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 -2.52 + -1.4x = -0.6 + 0.0 -2.52 + -1.4x = -0.6 Add '2.52' to each side of the equation. -2.52 + 2.52 + -1.4x = -0.6 + 2.52 Combine like terms: -2.52 + 2.52 = 0.00 0.00 + -1.4x = -0.6 + 2.52 -1.4x = -0.6 + 2.52 Combine like terms: -0.6 + 2.52 = 1.92 -1.4x = 1.92 Divide each side by '-1.4'. x = -1.371428571 Simplifying x = -1.371428571
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