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Simplifying 3 + -5(2x + 4) + 3(x + 2) = 8x + 2 Reorder the terms: 3 + -5(4 + 2x) + 3(x + 2) = 8x + 2 3 + (4 * -5 + 2x * -5) + 3(x + 2) = 8x + 2 3 + (-20 + -10x) + 3(x + 2) = 8x + 2 Reorder the terms: 3 + -20 + -10x + 3(2 + x) = 8x + 2 3 + -20 + -10x + (2 * 3 + x * 3) = 8x + 2 3 + -20 + -10x + (6 + 3x) = 8x + 2 Reorder the terms: 3 + -20 + 6 + -10x + 3x = 8x + 2 Combine like terms: 3 + -20 = -17 -17 + 6 + -10x + 3x = 8x + 2 Combine like terms: -17 + 6 = -11 -11 + -10x + 3x = 8x + 2 Combine like terms: -10x + 3x = -7x -11 + -7x = 8x + 2 Reorder the terms: -11 + -7x = 2 + 8x Solving -11 + -7x = 2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -11 + -7x + -8x = 2 + 8x + -8x Combine like terms: -7x + -8x = -15x -11 + -15x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 -11 + -15x = 2 + 0 -11 + -15x = 2 Add '11' to each side of the equation. -11 + 11 + -15x = 2 + 11 Combine like terms: -11 + 11 = 0 0 + -15x = 2 + 11 -15x = 2 + 11 Combine like terms: 2 + 11 = 13 -15x = 13 Divide each side by '-15'. x = -0.8666666667 Simplifying x = -0.8666666667
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