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Simplifying 5(3x + -3) + -3(3x + -7) = 12 Reorder the terms: 5(-3 + 3x) + -3(3x + -7) = 12 (-3 * 5 + 3x * 5) + -3(3x + -7) = 12 (-15 + 15x) + -3(3x + -7) = 12 Reorder the terms: -15 + 15x + -3(-7 + 3x) = 12 -15 + 15x + (-7 * -3 + 3x * -3) = 12 -15 + 15x + (21 + -9x) = 12 Reorder the terms: -15 + 21 + 15x + -9x = 12 Combine like terms: -15 + 21 = 6 6 + 15x + -9x = 12 Combine like terms: 15x + -9x = 6x 6 + 6x = 12 Solving 6 + 6x = 12 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 + 6x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = 12 + -6 6x = 12 + -6 Combine like terms: 12 + -6 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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