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Simplifying 3x + 19 = 5x + -13 Reorder the terms: 19 + 3x = 5x + -13 Reorder the terms: 19 + 3x = -13 + 5x Solving 19 + 3x = -13 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 19 + 3x + -5x = -13 + 5x + -5x Combine like terms: 3x + -5x = -2x 19 + -2x = -13 + 5x + -5x Combine like terms: 5x + -5x = 0 19 + -2x = -13 + 0 19 + -2x = -13 Add '-19' to each side of the equation. 19 + -19 + -2x = -13 + -19 Combine like terms: 19 + -19 = 0 0 + -2x = -13 + -19 -2x = -13 + -19 Combine like terms: -13 + -19 = -32 -2x = -32 Divide each side by '-2'. x = 16 Simplifying x = 16
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