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Simplifying -10 + 19.6x = 4r + -1(-7.6x + -2) Reorder the terms: -10 + 19.6x = 4r + -1(-2 + -7.6x) -10 + 19.6x = 4r + (-2 * -1 + -7.6x * -1) -10 + 19.6x = 4r + (2 + 7.6x) Reorder the terms: -10 + 19.6x = 2 + 4r + 7.6x Solving -10 + 19.6x = 2 + 4r + 7.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.6x' to each side of the equation. -10 + 19.6x + -7.6x = 2 + 4r + 7.6x + -7.6x Combine like terms: 19.6x + -7.6x = 12x -10 + 12x = 2 + 4r + 7.6x + -7.6x Combine like terms: 7.6x + -7.6x = 0.0 -10 + 12x = 2 + 4r + 0.0 -10 + 12x = 2 + 4r Add '10' to each side of the equation. -10 + 10 + 12x = 2 + 10 + 4r Combine like terms: -10 + 10 = 0 0 + 12x = 2 + 10 + 4r 12x = 2 + 10 + 4r Combine like terms: 2 + 10 = 12 12x = 12 + 4r Divide each side by '12'. x = 1 + 0.3333333333r Simplifying x = 1 + 0.3333333333r
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