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Simplifying 6 + -7x = -3x + 54 Reorder the terms: 6 + -7x = 54 + -3x Solving 6 + -7x = 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 + -7x + 3x = 54 + -3x + 3x Combine like terms: -7x + 3x = -4x 6 + -4x = 54 + -3x + 3x Combine like terms: -3x + 3x = 0 6 + -4x = 54 + 0 6 + -4x = 54 Add '-6' to each side of the equation. 6 + -6 + -4x = 54 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = 54 + -6 -4x = 54 + -6 Combine like terms: 54 + -6 = 48 -4x = 48 Divide each side by '-4'. x = -12 Simplifying x = -12
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