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Simplifying 3x + 24 + 4x = -12 + -1x + -28 Reorder the terms: 24 + 3x + 4x = -12 + -1x + -28 Combine like terms: 3x + 4x = 7x 24 + 7x = -12 + -1x + -28 Reorder the terms: 24 + 7x = -12 + -28 + -1x Combine like terms: -12 + -28 = -40 24 + 7x = -40 + -1x Solving 24 + 7x = -40 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 24 + 7x + x = -40 + -1x + x Combine like terms: 7x + x = 8x 24 + 8x = -40 + -1x + x Combine like terms: -1x + x = 0 24 + 8x = -40 + 0 24 + 8x = -40 Add '-24' to each side of the equation. 24 + -24 + 8x = -40 + -24 Combine like terms: 24 + -24 = 0 0 + 8x = -40 + -24 8x = -40 + -24 Combine like terms: -40 + -24 = -64 8x = -64 Divide each side by '8'. x = -8 Simplifying x = -8
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