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Simplifying 3(x + -5) = 6x + -1(3a + -15) Reorder the terms: 3(-5 + x) = 6x + -1(3a + -15) (-5 * 3 + x * 3) = 6x + -1(3a + -15) (-15 + 3x) = 6x + -1(3a + -15) Reorder the terms: -15 + 3x = 6x + -1(-15 + 3a) -15 + 3x = 6x + (-15 * -1 + 3a * -1) -15 + 3x = 6x + (15 + -3a) Reorder the terms: -15 + 3x = 15 + -3a + 6x Solving -15 + 3x = 15 + -3a + 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. -15 + 3x + -6x = 15 + -3a + 6x + -6x Combine like terms: 3x + -6x = -3x -15 + -3x = 15 + -3a + 6x + -6x Combine like terms: 6x + -6x = 0 -15 + -3x = 15 + -3a + 0 -15 + -3x = 15 + -3a Add '15' to each side of the equation. -15 + 15 + -3x = 15 + 15 + -3a Combine like terms: -15 + 15 = 0 0 + -3x = 15 + 15 + -3a -3x = 15 + 15 + -3a Combine like terms: 15 + 15 = 30 -3x = 30 + -3a Divide each side by '-3'. x = -10 + a Simplifying x = -10 + a
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