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Simplifying 6x + 19 = 13x + -51 Reorder the terms: 19 + 6x = 13x + -51 Reorder the terms: 19 + 6x = -51 + 13x Solving 19 + 6x = -51 + 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 + 6x + -13x = -51 + 13x + -13x Combine like terms: 6x + -13x = -7x 19 + -7x = -51 + 13x + -13x Combine like terms: 13x + -13x = 0 19 + -7x = -51 + 0 19 + -7x = -51 Add '-19' to each side of the equation. 19 + -19 + -7x = -51 + -19 Combine like terms: 19 + -19 = 0 0 + -7x = -51 + -19 -7x = -51 + -19 Combine like terms: -51 + -19 = -70 -7x = -70 Divide each side by '-7'. x = 10 Simplifying x = 10
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