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Simplifying 2x + -24 + -4x + -30 = 3x + -42 + 4x + -66 Reorder the terms: -24 + -30 + 2x + -4x = 3x + -42 + 4x + -66 Combine like terms: -24 + -30 = -54 -54 + 2x + -4x = 3x + -42 + 4x + -66 Combine like terms: 2x + -4x = -2x -54 + -2x = 3x + -42 + 4x + -66 Reorder the terms: -54 + -2x = -42 + -66 + 3x + 4x Combine like terms: -42 + -66 = -108 -54 + -2x = -108 + 3x + 4x Combine like terms: 3x + 4x = 7x -54 + -2x = -108 + 7x Solving -54 + -2x = -108 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -54 + -2x + -7x = -108 + 7x + -7x Combine like terms: -2x + -7x = -9x -54 + -9x = -108 + 7x + -7x Combine like terms: 7x + -7x = 0 -54 + -9x = -108 + 0 -54 + -9x = -108 Add '54' to each side of the equation. -54 + 54 + -9x = -108 + 54 Combine like terms: -54 + 54 = 0 0 + -9x = -108 + 54 -9x = -108 + 54 Combine like terms: -108 + 54 = -54 -9x = -54 Divide each side by '-9'. x = 6 Simplifying x = 6
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