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Simplifying 3x + 16 + 5x + -1(2.5 + 1) = 6x + (7 + -8) Combine like terms: 2.5 + 1 = 3.5 3x + 16 + 5x + -1(3.5) = 6x + (7 + -8) Multiply -1 * 3.5 3x + 16 + 5x + -3.5 = 6x + (7 + -8) Reorder the terms: 16 + -3.5 + 3x + 5x = 6x + (7 + -8) Combine like terms: 16 + -3.5 = 12.5 12.5 + 3x + 5x = 6x + (7 + -8) Combine like terms: 3x + 5x = 8x 12.5 + 8x = 6x + (7 + -8) Combine like terms: 7 + -8 = -1 12.5 + 8x = 6x + (-1) 12.5 + 8x = 6x + -1 Reorder the terms: 12.5 + 8x = -1 + 6x Solving 12.5 + 8x = -1 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 12.5 + 8x + -6x = -1 + 6x + -6x Combine like terms: 8x + -6x = 2x 12.5 + 2x = -1 + 6x + -6x Combine like terms: 6x + -6x = 0 12.5 + 2x = -1 + 0 12.5 + 2x = -1 Add '-12.5' to each side of the equation. 12.5 + -12.5 + 2x = -1 + -12.5 Combine like terms: 12.5 + -12.5 = 0.0 0.0 + 2x = -1 + -12.5 2x = -1 + -12.5 Combine like terms: -1 + -12.5 = -13.5 2x = -13.5 Divide each side by '2'. x = -6.75 Simplifying x = -6.75
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