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Simplifying 15x + 10 = x + 19 + 5x Reorder the terms: 10 + 15x = x + 19 + 5x Reorder the terms: 10 + 15x = 19 + x + 5x Combine like terms: x + 5x = 6x 10 + 15x = 19 + 6x Solving 10 + 15x = 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. 10 + 15x + -6x = 19 + 6x + -6x Combine like terms: 15x + -6x = 9x 10 + 9x = 19 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + 9x = 19 + 0 10 + 9x = 19 Add '-10' to each side of the equation. 10 + -10 + 9x = 19 + -10 Combine like terms: 10 + -10 = 0 0 + 9x = 19 + -10 9x = 19 + -10 Combine like terms: 19 + -10 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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