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Simplifying 3(x + -5) + 2 = 8x + 1 Reorder the terms: 3(-5 + x) + 2 = 8x + 1 (-5 * 3 + x * 3) + 2 = 8x + 1 (-15 + 3x) + 2 = 8x + 1 Reorder the terms: -15 + 2 + 3x = 8x + 1 Combine like terms: -15 + 2 = -13 -13 + 3x = 8x + 1 Reorder the terms: -13 + 3x = 1 + 8x Solving -13 + 3x = 1 + 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. -13 + 3x + -8x = 1 + 8x + -8x Combine like terms: 3x + -8x = -5x -13 + -5x = 1 + 8x + -8x Combine like terms: 8x + -8x = 0 -13 + -5x = 1 + 0 -13 + -5x = 1 Add '13' to each side of the equation. -13 + 13 + -5x = 1 + 13 Combine like terms: -13 + 13 = 0 0 + -5x = 1 + 13 -5x = 1 + 13 Combine like terms: 1 + 13 = 14 -5x = 14 Divide each side by '-5'. x = -2.8 Simplifying x = -2.8
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