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Simplifying 3(2x + -9) = 6(x + -5) + x + 3 Reorder the terms: 3(-9 + 2x) = 6(x + -5) + x + 3 (-9 * 3 + 2x * 3) = 6(x + -5) + x + 3 (-27 + 6x) = 6(x + -5) + x + 3 Reorder the terms: -27 + 6x = 6(-5 + x) + x + 3 -27 + 6x = (-5 * 6 + x * 6) + x + 3 -27 + 6x = (-30 + 6x) + x + 3 Reorder the terms: -27 + 6x = -30 + 3 + 6x + x Combine like terms: -30 + 3 = -27 -27 + 6x = -27 + 6x + x Combine like terms: 6x + x = 7x -27 + 6x = -27 + 7x Add '27' to each side of the equation. -27 + 27 + 6x = -27 + 27 + 7x Combine like terms: -27 + 27 = 0 0 + 6x = -27 + 27 + 7x 6x = -27 + 27 + 7x Combine like terms: -27 + 27 = 0 6x = 0 + 7x 6x = 7x Solving 6x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 6x + -7x = 7x + -7x Combine like terms: 6x + -7x = -1x -1x = 7x + -7x Combine like terms: 7x + -7x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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