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Simplifying x + 10 = -3x + 14 Reorder the terms: 10 + x = -3x + 14 Reorder the terms: 10 + x = 14 + -3x Solving 10 + x = 14 + -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. 10 + x + 3x = 14 + -3x + 3x Combine like terms: x + 3x = 4x 10 + 4x = 14 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + 4x = 14 + 0 10 + 4x = 14 Add '-10' to each side of the equation. 10 + -10 + 4x = 14 + -10 Combine like terms: 10 + -10 = 0 0 + 4x = 14 + -10 4x = 14 + -10 Combine like terms: 14 + -10 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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