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Simplifying 15x + 42 + -12x + -12 = 13 + 15x + -31 Reorder the terms: 42 + -12 + 15x + -12x = 13 + 15x + -31 Combine like terms: 42 + -12 = 30 30 + 15x + -12x = 13 + 15x + -31 Combine like terms: 15x + -12x = 3x 30 + 3x = 13 + 15x + -31 Reorder the terms: 30 + 3x = 13 + -31 + 15x Combine like terms: 13 + -31 = -18 30 + 3x = -18 + 15x Solving 30 + 3x = -18 + 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. 30 + 3x + -15x = -18 + 15x + -15x Combine like terms: 3x + -15x = -12x 30 + -12x = -18 + 15x + -15x Combine like terms: 15x + -15x = 0 30 + -12x = -18 + 0 30 + -12x = -18 Add '-30' to each side of the equation. 30 + -30 + -12x = -18 + -30 Combine like terms: 30 + -30 = 0 0 + -12x = -18 + -30 -12x = -18 + -30 Combine like terms: -18 + -30 = -48 -12x = -48 Divide each side by '-12'. x = 4 Simplifying x = 4
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