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Simplifying 5(10 + -2) + 11x = 8x + 3(4x + -2) Combine like terms: 10 + -2 = 8 5(8) + 11x = 8x + 3(4x + -2) Multiply 5 * 8 40 + 11x = 8x + 3(4x + -2) Reorder the terms: 40 + 11x = 8x + 3(-2 + 4x) 40 + 11x = 8x + (-2 * 3 + 4x * 3) 40 + 11x = 8x + (-6 + 12x) Reorder the terms: 40 + 11x = -6 + 8x + 12x Combine like terms: 8x + 12x = 20x 40 + 11x = -6 + 20x Solving 40 + 11x = -6 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 40 + 11x + -20x = -6 + 20x + -20x Combine like terms: 11x + -20x = -9x 40 + -9x = -6 + 20x + -20x Combine like terms: 20x + -20x = 0 40 + -9x = -6 + 0 40 + -9x = -6 Add '-40' to each side of the equation. 40 + -40 + -9x = -6 + -40 Combine like terms: 40 + -40 = 0 0 + -9x = -6 + -40 -9x = -6 + -40 Combine like terms: -6 + -40 = -46 -9x = -46 Divide each side by '-9'. x = 5.111111111 Simplifying x = 5.111111111
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