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Simplifying 38 + -2x = 7x + 19 Reorder the terms: 38 + -2x = 19 + 7x Solving 38 + -2x = 19 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 38 + -2x + -7x = 19 + 7x + -7x Combine like terms: -2x + -7x = -9x 38 + -9x = 19 + 7x + -7x Combine like terms: 7x + -7x = 0 38 + -9x = 19 + 0 38 + -9x = 19 Add '-38' to each side of the equation. 38 + -38 + -9x = 19 + -38 Combine like terms: 38 + -38 = 0 0 + -9x = 19 + -38 -9x = 19 + -38 Combine like terms: 19 + -38 = -19 -9x = -19 Divide each side by '-9'. x = 2.111111111 Simplifying x = 2.111111111
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