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Simplifying 3(x + -7) + 2 = 8 + -5x Reorder the terms: 3(-7 + x) + 2 = 8 + -5x (-7 * 3 + x * 3) + 2 = 8 + -5x (-21 + 3x) + 2 = 8 + -5x Reorder the terms: -21 + 2 + 3x = 8 + -5x Combine like terms: -21 + 2 = -19 -19 + 3x = 8 + -5x Solving -19 + 3x = 8 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -19 + 3x + 5x = 8 + -5x + 5x Combine like terms: 3x + 5x = 8x -19 + 8x = 8 + -5x + 5x Combine like terms: -5x + 5x = 0 -19 + 8x = 8 + 0 -19 + 8x = 8 Add '19' to each side of the equation. -19 + 19 + 8x = 8 + 19 Combine like terms: -19 + 19 = 0 0 + 8x = 8 + 19 8x = 8 + 19 Combine like terms: 8 + 19 = 27 8x = 27 Divide each side by '8'. x = 3.375 Simplifying x = 3.375
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