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Simplifying 3x + 19 = 13x + -101 Reorder the terms: 19 + 3x = 13x + -101 Reorder the terms: 19 + 3x = -101 + 13x Solving 19 + 3x = -101 + 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. 19 + 3x + -13x = -101 + 13x + -13x Combine like terms: 3x + -13x = -10x 19 + -10x = -101 + 13x + -13x Combine like terms: 13x + -13x = 0 19 + -10x = -101 + 0 19 + -10x = -101 Add '-19' to each side of the equation. 19 + -19 + -10x = -101 + -19 Combine like terms: 19 + -19 = 0 0 + -10x = -101 + -19 -10x = -101 + -19 Combine like terms: -101 + -19 = -120 -10x = -120 Divide each side by '-10'. x = 12 Simplifying x = 12
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