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Simplifying 4(-2x + 10) = 3x + 6 Reorder the terms: 4(10 + -2x) = 3x + 6 (10 * 4 + -2x * 4) = 3x + 6 (40 + -8x) = 3x + 6 Reorder the terms: 40 + -8x = 6 + 3x Solving 40 + -8x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 40 + -8x + -3x = 6 + 3x + -3x Combine like terms: -8x + -3x = -11x 40 + -11x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 40 + -11x = 6 + 0 40 + -11x = 6 Add '-40' to each side of the equation. 40 + -40 + -11x = 6 + -40 Combine like terms: 40 + -40 = 0 0 + -11x = 6 + -40 -11x = 6 + -40 Combine like terms: 6 + -40 = -34 -11x = -34 Divide each side by '-11'. x = 3.090909091 Simplifying x = 3.090909091
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