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Simplifying 5x + -6x + -12 = 4x + 3x + 24 Reorder the terms: -12 + 5x + -6x = 4x + 3x + 24 Combine like terms: 5x + -6x = -1x -12 + -1x = 4x + 3x + 24 Reorder the terms: -12 + -1x = 24 + 4x + 3x Combine like terms: 4x + 3x = 7x -12 + -1x = 24 + 7x Solving -12 + -1x = 24 + 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. -12 + -1x + -7x = 24 + 7x + -7x Combine like terms: -1x + -7x = -8x -12 + -8x = 24 + 7x + -7x Combine like terms: 7x + -7x = 0 -12 + -8x = 24 + 0 -12 + -8x = 24 Add '12' to each side of the equation. -12 + 12 + -8x = 24 + 12 Combine like terms: -12 + 12 = 0 0 + -8x = 24 + 12 -8x = 24 + 12 Combine like terms: 24 + 12 = 36 -8x = 36 Divide each side by '-8'. x = -4.5 Simplifying x = -4.5
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