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Simplifying 6(x + 4) + -6 = 54 + -3x Reorder the terms: 6(4 + x) + -6 = 54 + -3x (4 * 6 + x * 6) + -6 = 54 + -3x (24 + 6x) + -6 = 54 + -3x Reorder the terms: 24 + -6 + 6x = 54 + -3x Combine like terms: 24 + -6 = 18 18 + 6x = 54 + -3x Solving 18 + 6x = 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. 18 + 6x + 3x = 54 + -3x + 3x Combine like terms: 6x + 3x = 9x 18 + 9x = 54 + -3x + 3x Combine like terms: -3x + 3x = 0 18 + 9x = 54 + 0 18 + 9x = 54 Add '-18' to each side of the equation. 18 + -18 + 9x = 54 + -18 Combine like terms: 18 + -18 = 0 0 + 9x = 54 + -18 9x = 54 + -18 Combine like terms: 54 + -18 = 36 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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