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Simplifying 17 + -16x + (-16x + 19) + 14x = 9 + (-17x + 27) Reorder the terms: 17 + -16x + (19 + -16x) + 14x = 9 + (-17x + 27) Remove parenthesis around (19 + -16x) 17 + -16x + 19 + -16x + 14x = 9 + (-17x + 27) Reorder the terms: 17 + 19 + -16x + -16x + 14x = 9 + (-17x + 27) Combine like terms: 17 + 19 = 36 36 + -16x + -16x + 14x = 9 + (-17x + 27) Combine like terms: -16x + -16x = -32x 36 + -32x + 14x = 9 + (-17x + 27) Combine like terms: -32x + 14x = -18x 36 + -18x = 9 + (-17x + 27) Reorder the terms: 36 + -18x = 9 + (27 + -17x) Remove parenthesis around (27 + -17x) 36 + -18x = 9 + 27 + -17x Combine like terms: 9 + 27 = 36 36 + -18x = 36 + -17x Add '-36' to each side of the equation. 36 + -36 + -18x = 36 + -36 + -17x Combine like terms: 36 + -36 = 0 0 + -18x = 36 + -36 + -17x -18x = 36 + -36 + -17x Combine like terms: 36 + -36 = 0 -18x = 0 + -17x -18x = -17x Solving -18x = -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. -18x + 17x = -17x + 17x Combine like terms: -18x + 17x = -1x -1x = -17x + 17x Combine like terms: -17x + 17x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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