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Simplifying 3(2x + -9 + 6x) = 3x + 29 + -7x Reorder the terms: 3(-9 + 2x + 6x) = 3x + 29 + -7x Combine like terms: 2x + 6x = 8x 3(-9 + 8x) = 3x + 29 + -7x (-9 * 3 + 8x * 3) = 3x + 29 + -7x (-27 + 24x) = 3x + 29 + -7x Reorder the terms: -27 + 24x = 29 + 3x + -7x Combine like terms: 3x + -7x = -4x -27 + 24x = 29 + -4x Solving -27 + 24x = 29 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -27 + 24x + 4x = 29 + -4x + 4x Combine like terms: 24x + 4x = 28x -27 + 28x = 29 + -4x + 4x Combine like terms: -4x + 4x = 0 -27 + 28x = 29 + 0 -27 + 28x = 29 Add '27' to each side of the equation. -27 + 27 + 28x = 29 + 27 Combine like terms: -27 + 27 = 0 0 + 28x = 29 + 27 28x = 29 + 27 Combine like terms: 29 + 27 = 56 28x = 56 Divide each side by '28'. x = 2 Simplifying x = 2
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