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Simplifying 3x + -9x + 16 = 2x + 1 Reorder the terms: 16 + 3x + -9x = 2x + 1 Combine like terms: 3x + -9x = -6x 16 + -6x = 2x + 1 Reorder the terms: 16 + -6x = 1 + 2x Solving 16 + -6x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 16 + -6x + -2x = 1 + 2x + -2x Combine like terms: -6x + -2x = -8x 16 + -8x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 16 + -8x = 1 + 0 16 + -8x = 1 Add '-16' to each side of the equation. 16 + -16 + -8x = 1 + -16 Combine like terms: 16 + -16 = 0 0 + -8x = 1 + -16 -8x = 1 + -16 Combine like terms: 1 + -16 = -15 -8x = -15 Divide each side by '-8'. x = 1.875 Simplifying x = 1.875
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