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Simplifying 5x + 19 = 15x + -51 Reorder the terms: 19 + 5x = 15x + -51 Reorder the terms: 19 + 5x = -51 + 15x Solving 19 + 5x = -51 + 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. 19 + 5x + -15x = -51 + 15x + -15x Combine like terms: 5x + -15x = -10x 19 + -10x = -51 + 15x + -15x Combine like terms: 15x + -15x = 0 19 + -10x = -51 + 0 19 + -10x = -51 Add '-19' to each side of the equation. 19 + -19 + -10x = -51 + -19 Combine like terms: 19 + -19 = 0 0 + -10x = -51 + -19 -10x = -51 + -19 Combine like terms: -51 + -19 = -70 -10x = -70 Divide each side by '-10'. x = 7 Simplifying x = 7
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