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Simplifying 5x + 3(2x + -4) = 2x + 8 Reorder the terms: 5x + 3(-4 + 2x) = 2x + 8 5x + (-4 * 3 + 2x * 3) = 2x + 8 5x + (-12 + 6x) = 2x + 8 Reorder the terms: -12 + 5x + 6x = 2x + 8 Combine like terms: 5x + 6x = 11x -12 + 11x = 2x + 8 Reorder the terms: -12 + 11x = 8 + 2x Solving -12 + 11x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -12 + 11x + -2x = 8 + 2x + -2x Combine like terms: 11x + -2x = 9x -12 + 9x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 9x = 8 + 0 -12 + 9x = 8 Add '12' to each side of the equation. -12 + 12 + 9x = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 9x = 8 + 12 9x = 8 + 12 Combine like terms: 8 + 12 = 20 9x = 20 Divide each side by '9'. x = 2.222222222 Simplifying x = 2.222222222
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