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Simplifying 10x + 2x + -1 = 15x + 38 Reorder the terms: -1 + 10x + 2x = 15x + 38 Combine like terms: 10x + 2x = 12x -1 + 12x = 15x + 38 Reorder the terms: -1 + 12x = 38 + 15x Solving -1 + 12x = 38 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -1 + 12x + -15x = 38 + 15x + -15x Combine like terms: 12x + -15x = -3x -1 + -3x = 38 + 15x + -15x Combine like terms: 15x + -15x = 0 -1 + -3x = 38 + 0 -1 + -3x = 38 Add '1' to each side of the equation. -1 + 1 + -3x = 38 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 38 + 1 -3x = 38 + 1 Combine like terms: 38 + 1 = 39 -3x = 39 Divide each side by '-3'. x = -13 Simplifying x = -13
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