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Simplifying 5x + -2(3x + 1) = 8(x + 2) Reorder the terms: 5x + -2(1 + 3x) = 8(x + 2) 5x + (1 * -2 + 3x * -2) = 8(x + 2) 5x + (-2 + -6x) = 8(x + 2) Reorder the terms: -2 + 5x + -6x = 8(x + 2) Combine like terms: 5x + -6x = -1x -2 + -1x = 8(x + 2) Reorder the terms: -2 + -1x = 8(2 + x) -2 + -1x = (2 * 8 + x * 8) -2 + -1x = (16 + 8x) Solving -2 + -1x = 16 + 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. -2 + -1x + -8x = 16 + 8x + -8x Combine like terms: -1x + -8x = -9x -2 + -9x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 -2 + -9x = 16 + 0 -2 + -9x = 16 Add '2' to each side of the equation. -2 + 2 + -9x = 16 + 2 Combine like terms: -2 + 2 = 0 0 + -9x = 16 + 2 -9x = 16 + 2 Combine like terms: 16 + 2 = 18 -9x = 18 Divide each side by '-9'. x = -2 Simplifying x = -2
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