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Simplifying -10 + 19.6x = 4x + -1(-7.6x + -2) Reorder the terms: -10 + 19.6x = 4x + -1(-2 + -7.6x) -10 + 19.6x = 4x + (-2 * -1 + -7.6x * -1) -10 + 19.6x = 4x + (2 + 7.6x) Reorder the terms: -10 + 19.6x = 2 + 4x + 7.6x Combine like terms: 4x + 7.6x = 11.6x -10 + 19.6x = 2 + 11.6x Solving -10 + 19.6x = 2 + 11.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11.6x' to each side of the equation. -10 + 19.6x + -11.6x = 2 + 11.6x + -11.6x Combine like terms: 19.6x + -11.6x = 8x -10 + 8x = 2 + 11.6x + -11.6x Combine like terms: 11.6x + -11.6x = 0.0 -10 + 8x = 2 + 0.0 -10 + 8x = 2 Add '10' to each side of the equation. -10 + 10 + 8x = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 8x = 2 + 10 8x = 2 + 10 Combine like terms: 2 + 10 = 12 8x = 12 Divide each side by '8'. x = 1.5 Simplifying x = 1.5
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