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Simplifying 14 + -1x + 5 = 3x + 27 + -10 Reorder the terms: 14 + 5 + -1x = 3x + 27 + -10 Combine like terms: 14 + 5 = 19 19 + -1x = 3x + 27 + -10 Reorder the terms: 19 + -1x = 27 + -10 + 3x Combine like terms: 27 + -10 = 17 19 + -1x = 17 + 3x Solving 19 + -1x = 17 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 19 + -1x + -3x = 17 + 3x + -3x Combine like terms: -1x + -3x = -4x 19 + -4x = 17 + 3x + -3x Combine like terms: 3x + -3x = 0 19 + -4x = 17 + 0 19 + -4x = 17 Add '-19' to each side of the equation. 19 + -19 + -4x = 17 + -19 Combine like terms: 19 + -19 = 0 0 + -4x = 17 + -19 -4x = 17 + -19 Combine like terms: 17 + -19 = -2 -4x = -2 Divide each side by '-4'. x = 0.5 Simplifying x = 0.5
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