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Simplifying 4x + 2 + -6x + -8 = -3 + 7x + 24 Reorder the terms: 2 + -8 + 4x + -6x = -3 + 7x + 24 Combine like terms: 2 + -8 = -6 -6 + 4x + -6x = -3 + 7x + 24 Combine like terms: 4x + -6x = -2x -6 + -2x = -3 + 7x + 24 Reorder the terms: -6 + -2x = -3 + 24 + 7x Combine like terms: -3 + 24 = 21 -6 + -2x = 21 + 7x Solving -6 + -2x = 21 + 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. -6 + -2x + -7x = 21 + 7x + -7x Combine like terms: -2x + -7x = -9x -6 + -9x = 21 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + -9x = 21 + 0 -6 + -9x = 21 Add '6' to each side of the equation. -6 + 6 + -9x = 21 + 6 Combine like terms: -6 + 6 = 0 0 + -9x = 21 + 6 -9x = 21 + 6 Combine like terms: 21 + 6 = 27 -9x = 27 Divide each side by '-9'. x = -3 Simplifying x = -3
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