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Simplifying 38 + -5x = 13x + 16 Reorder the terms: 38 + -5x = 16 + 13x Solving 38 + -5x = 16 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 38 + -5x + -13x = 16 + 13x + -13x Combine like terms: -5x + -13x = -18x 38 + -18x = 16 + 13x + -13x Combine like terms: 13x + -13x = 0 38 + -18x = 16 + 0 38 + -18x = 16 Add '-38' to each side of the equation. 38 + -38 + -18x = 16 + -38 Combine like terms: 38 + -38 = 0 0 + -18x = 16 + -38 -18x = 16 + -38 Combine like terms: 16 + -38 = -22 -18x = -22 Divide each side by '-18'. x = 1.222222222 Simplifying x = 1.222222222
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