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Simplifying 12x + 5 + -16 + 3x + -1x = -16 + -12 + -11x + -1 + 17x Reorder the terms: 5 + -16 + 12x + 3x + -1x = -16 + -12 + -11x + -1 + 17x Combine like terms: 5 + -16 = -11 -11 + 12x + 3x + -1x = -16 + -12 + -11x + -1 + 17x Combine like terms: 12x + 3x = 15x -11 + 15x + -1x = -16 + -12 + -11x + -1 + 17x Combine like terms: 15x + -1x = 14x -11 + 14x = -16 + -12 + -11x + -1 + 17x Reorder the terms: -11 + 14x = -16 + -12 + -1 + -11x + 17x Combine like terms: -16 + -12 = -28 -11 + 14x = -28 + -1 + -11x + 17x Combine like terms: -28 + -1 = -29 -11 + 14x = -29 + -11x + 17x Combine like terms: -11x + 17x = 6x -11 + 14x = -29 + 6x Solving -11 + 14x = -29 + 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. -11 + 14x + -6x = -29 + 6x + -6x Combine like terms: 14x + -6x = 8x -11 + 8x = -29 + 6x + -6x Combine like terms: 6x + -6x = 0 -11 + 8x = -29 + 0 -11 + 8x = -29 Add '11' to each side of the equation. -11 + 11 + 8x = -29 + 11 Combine like terms: -11 + 11 = 0 0 + 8x = -29 + 11 8x = -29 + 11 Combine like terms: -29 + 11 = -18 8x = -18 Divide each side by '8'. x = -2.25 Simplifying x = -2.25
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