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Simplifying 3x + 2(x + -3) = -3x + -54 Reorder the terms: 3x + 2(-3 + x) = -3x + -54 3x + (-3 * 2 + x * 2) = -3x + -54 3x + (-6 + 2x) = -3x + -54 Reorder the terms: -6 + 3x + 2x = -3x + -54 Combine like terms: 3x + 2x = 5x -6 + 5x = -3x + -54 Reorder the terms: -6 + 5x = -54 + -3x Solving -6 + 5x = -54 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -6 + 5x + 3x = -54 + -3x + 3x Combine like terms: 5x + 3x = 8x -6 + 8x = -54 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 8x = -54 + 0 -6 + 8x = -54 Add '6' to each side of the equation. -6 + 6 + 8x = -54 + 6 Combine like terms: -6 + 6 = 0 0 + 8x = -54 + 6 8x = -54 + 6 Combine like terms: -54 + 6 = -48 8x = -48 Divide each side by '8'. x = -6 Simplifying x = -6
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