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Simplifying 4x + 12 = -3x + -6 + -24 Reorder the terms: 12 + 4x = -3x + -6 + -24 Reorder the terms: 12 + 4x = -6 + -24 + -3x Combine like terms: -6 + -24 = -30 12 + 4x = -30 + -3x Solving 12 + 4x = -30 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 12 + 4x + 3x = -30 + -3x + 3x Combine like terms: 4x + 3x = 7x 12 + 7x = -30 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + 7x = -30 + 0 12 + 7x = -30 Add '-12' to each side of the equation. 12 + -12 + 7x = -30 + -12 Combine like terms: 12 + -12 = 0 0 + 7x = -30 + -12 7x = -30 + -12 Combine like terms: -30 + -12 = -42 7x = -42 Divide each side by '7'. x = -6 Simplifying x = -6
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