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Simplifying -54 = 6x + 4(-3x + -3) Reorder the terms: -54 = 6x + 4(-3 + -3x) -54 = 6x + (-3 * 4 + -3x * 4) -54 = 6x + (-12 + -12x) Reorder the terms: -54 = -12 + 6x + -12x Combine like terms: 6x + -12x = -6x -54 = -12 + -6x Solving -54 = -12 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -54 + 6x = -12 + -6x + 6x Combine like terms: -6x + 6x = 0 -54 + 6x = -12 + 0 -54 + 6x = -12 Add '54' to each side of the equation. -54 + 54 + 6x = -12 + 54 Combine like terms: -54 + 54 = 0 0 + 6x = -12 + 54 6x = -12 + 54 Combine like terms: -12 + 54 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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