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Simplifying 38 + -1x = 10 + 3x Solving 38 + -1x = 10 + 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. 38 + -1x + -3x = 10 + 3x + -3x Combine like terms: -1x + -3x = -4x 38 + -4x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 38 + -4x = 10 + 0 38 + -4x = 10 Add '-38' to each side of the equation. 38 + -38 + -4x = 10 + -38 Combine like terms: 38 + -38 = 0 0 + -4x = 10 + -38 -4x = 10 + -38 Combine like terms: 10 + -38 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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