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Simplifying 3x + 2(6x + 5) = x + -3(5x + -13) * a Reorder the terms: 3x + 2(5 + 6x) = x + -3(5x + -13) * a 3x + (5 * 2 + 6x * 2) = x + -3(5x + -13) * a 3x + (10 + 12x) = x + -3(5x + -13) * a Reorder the terms: 10 + 3x + 12x = x + -3(5x + -13) * a Combine like terms: 3x + 12x = 15x 10 + 15x = x + -3(5x + -13) * a Reorder the terms: 10 + 15x = x + -3(-13 + 5x) * a Reorder the terms for easier multiplication: 10 + 15x = x + -3a(-13 + 5x) 10 + 15x = x + (-13 * -3a + 5x * -3a) 10 + 15x = x + (39a + -15ax) Reorder the terms: 10 + 15x = 39a + -15ax + x Solving 10 + 15x = 39a + -15ax + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15ax' to each side of the equation. 10 + 15ax + 15x = 39a + -15ax + 15ax + x Combine like terms: -15ax + 15ax = 0 10 + 15ax + 15x = 39a + 0 + x 10 + 15ax + 15x = 39a + x Add '-1x' to each side of the equation. 10 + 15ax + 15x + -1x = 39a + x + -1x Combine like terms: 15x + -1x = 14x 10 + 15ax + 14x = 39a + x + -1x Combine like terms: x + -1x = 0 10 + 15ax + 14x = 39a + 0 10 + 15ax + 14x = 39a Add '-10' to each side of the equation. 10 + 15ax + -10 + 14x = -10 + 39a Reorder the terms: 10 + -10 + 15ax + 14x = -10 + 39a Combine like terms: 10 + -10 = 0 0 + 15ax + 14x = -10 + 39a 15ax + 14x = -10 + 39a Reorder the terms: 10 + -39a + 15ax + 14x = -10 + 39a + 10 + -39a Reorder the terms: 10 + -39a + 15ax + 14x = -10 + 10 + 39a + -39a Combine like terms: -10 + 10 = 0 10 + -39a + 15ax + 14x = 0 + 39a + -39a 10 + -39a + 15ax + 14x = 39a + -39a Combine like terms: 39a + -39a = 0 10 + -39a + 15ax + 14x = 0 The solution to this equation could not be determined.
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