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Simplifying 0.36x + -2(1.63x) + -8.03 = 3(1.96x + -4.14) Remove parenthesis around (1.63x) 0.36x + -2 * 1.63x + -8.03 = 3(1.96x + -4.14) Multiply -2 * 1.63 0.36x + -3.26x + -8.03 = 3(1.96x + -4.14) Reorder the terms: -8.03 + 0.36x + -3.26x = 3(1.96x + -4.14) Combine like terms: 0.36x + -3.26x = -2.9x -8.03 + -2.9x = 3(1.96x + -4.14) Reorder the terms: -8.03 + -2.9x = 3(-4.14 + 1.96x) -8.03 + -2.9x = (-4.14 * 3 + 1.96x * 3) -8.03 + -2.9x = (-12.42 + 5.88x) Solving -8.03 + -2.9x = -12.42 + 5.88x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.88x' to each side of the equation. -8.03 + -2.9x + -5.88x = -12.42 + 5.88x + -5.88x Combine like terms: -2.9x + -5.88x = -8.78x -8.03 + -8.78x = -12.42 + 5.88x + -5.88x Combine like terms: 5.88x + -5.88x = 0.00 -8.03 + -8.78x = -12.42 + 0.00 -8.03 + -8.78x = -12.42 Add '8.03' to each side of the equation. -8.03 + 8.03 + -8.78x = -12.42 + 8.03 Combine like terms: -8.03 + 8.03 = 0.00 0.00 + -8.78x = -12.42 + 8.03 -8.78x = -12.42 + 8.03 Combine like terms: -12.42 + 8.03 = -4.39 -8.78x = -4.39 Divide each side by '-8.78'. x = 0.5 Simplifying x = 0.5
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