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Simplifying 2x + 13 = 6x + -19 Reorder the terms: 13 + 2x = 6x + -19 Reorder the terms: 13 + 2x = -19 + 6x Solving 13 + 2x = -19 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 13 + 2x + -6x = -19 + 6x + -6x Combine like terms: 2x + -6x = -4x 13 + -4x = -19 + 6x + -6x Combine like terms: 6x + -6x = 0 13 + -4x = -19 + 0 13 + -4x = -19 Add '-13' to each side of the equation. 13 + -13 + -4x = -19 + -13 Combine like terms: 13 + -13 = 0 0 + -4x = -19 + -13 -4x = -19 + -13 Combine like terms: -19 + -13 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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