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Simplifying -3(0.96x + -0.79) = -1(0.21x + 0.46) Reorder the terms: -3(-0.79 + 0.96x) = -1(0.21x + 0.46) (-0.79 * -3 + 0.96x * -3) = -1(0.21x + 0.46) (2.37 + -2.88x) = -1(0.21x + 0.46) Reorder the terms: 2.37 + -2.88x = -1(0.46 + 0.21x) 2.37 + -2.88x = (0.46 * -1 + 0.21x * -1) 2.37 + -2.88x = (-0.46 + -0.21x) Solving 2.37 + -2.88x = -0.46 + -0.21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.21x' to each side of the equation. 2.37 + -2.88x + 0.21x = -0.46 + -0.21x + 0.21x Combine like terms: -2.88x + 0.21x = -2.67x 2.37 + -2.67x = -0.46 + -0.21x + 0.21x Combine like terms: -0.21x + 0.21x = 0.00 2.37 + -2.67x = -0.46 + 0.00 2.37 + -2.67x = -0.46 Add '-2.37' to each side of the equation. 2.37 + -2.37 + -2.67x = -0.46 + -2.37 Combine like terms: 2.37 + -2.37 = 0.00 0.00 + -2.67x = -0.46 + -2.37 -2.67x = -0.46 + -2.37 Combine like terms: -0.46 + -2.37 = -2.83 -2.67x = -2.83 Divide each side by '-2.67'. x = 1.059925094 Simplifying x = 1.059925094
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