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Simplifying 3x + 10 = 15x + -38 Reorder the terms: 10 + 3x = 15x + -38 Reorder the terms: 10 + 3x = -38 + 15x Solving 10 + 3x = -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. 10 + 3x + -15x = -38 + 15x + -15x Combine like terms: 3x + -15x = -12x 10 + -12x = -38 + 15x + -15x Combine like terms: 15x + -15x = 0 10 + -12x = -38 + 0 10 + -12x = -38 Add '-10' to each side of the equation. 10 + -10 + -12x = -38 + -10 Combine like terms: 10 + -10 = 0 0 + -12x = -38 + -10 -12x = -38 + -10 Combine like terms: -38 + -10 = -48 -12x = -48 Divide each side by '-12'. x = 4 Simplifying x = 4
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