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Simplifying 6(3x + 1) + -3x = 3(2a + -4) Reorder the terms: 6(1 + 3x) + -3x = 3(2a + -4) (1 * 6 + 3x * 6) + -3x = 3(2a + -4) (6 + 18x) + -3x = 3(2a + -4) Combine like terms: 18x + -3x = 15x 6 + 15x = 3(2a + -4) Reorder the terms: 6 + 15x = 3(-4 + 2a) 6 + 15x = (-4 * 3 + 2a * 3) 6 + 15x = (-12 + 6a) Solving 6 + 15x = -12 + 6a Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 15x = -12 + -6 + 6a Combine like terms: 6 + -6 = 0 0 + 15x = -12 + -6 + 6a 15x = -12 + -6 + 6a Combine like terms: -12 + -6 = -18 15x = -18 + 6a Divide each side by '15'. x = -1.2 + 0.4a Simplifying x = -1.2 + 0.4a
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