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Simplifying 3x + -2x + 9 + 1 = 14x + 5x + 1 Reorder the terms: 9 + 1 + 3x + -2x = 14x + 5x + 1 Combine like terms: 9 + 1 = 10 10 + 3x + -2x = 14x + 5x + 1 Combine like terms: 3x + -2x = 1x 10 + 1x = 14x + 5x + 1 Reorder the terms: 10 + 1x = 1 + 14x + 5x Combine like terms: 14x + 5x = 19x 10 + 1x = 1 + 19x Solving 10 + 1x = 1 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 10 + 1x + -19x = 1 + 19x + -19x Combine like terms: 1x + -19x = -18x 10 + -18x = 1 + 19x + -19x Combine like terms: 19x + -19x = 0 10 + -18x = 1 + 0 10 + -18x = 1 Add '-10' to each side of the equation. 10 + -10 + -18x = 1 + -10 Combine like terms: 10 + -10 = 0 0 + -18x = 1 + -10 -18x = 1 + -10 Combine like terms: 1 + -10 = -9 -18x = -9 Divide each side by '-18'. x = 0.5 Simplifying x = 0.5
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