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Simplifying 38 + -5x = 10 + -9x Solving 38 + -5x = 10 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 38 + -5x + 9x = 10 + -9x + 9x Combine like terms: -5x + 9x = 4x 38 + 4x = 10 + -9x + 9x Combine like terms: -9x + 9x = 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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