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Simplifying 4x + -15 + -6x + 3 = 24 + -3x + -4 + -3x Reorder the terms: -15 + 3 + 4x + -6x = 24 + -3x + -4 + -3x Combine like terms: -15 + 3 = -12 -12 + 4x + -6x = 24 + -3x + -4 + -3x Combine like terms: 4x + -6x = -2x -12 + -2x = 24 + -3x + -4 + -3x Reorder the terms: -12 + -2x = 24 + -4 + -3x + -3x Combine like terms: 24 + -4 = 20 -12 + -2x = 20 + -3x + -3x Combine like terms: -3x + -3x = -6x -12 + -2x = 20 + -6x Solving -12 + -2x = 20 + -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. -12 + -2x + 6x = 20 + -6x + 6x Combine like terms: -2x + 6x = 4x -12 + 4x = 20 + -6x + 6x Combine like terms: -6x + 6x = 0 -12 + 4x = 20 + 0 -12 + 4x = 20 Add '12' to each side of the equation. -12 + 12 + 4x = 20 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = 20 + 12 4x = 20 + 12 Combine like terms: 20 + 12 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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