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Simplifying 3x + -24 + 6 = 4x + -32 + 4 Reorder the terms: -24 + 6 + 3x = 4x + -32 + 4 Combine like terms: -24 + 6 = -18 -18 + 3x = 4x + -32 + 4 Reorder the terms: -18 + 3x = -32 + 4 + 4x Combine like terms: -32 + 4 = -28 -18 + 3x = -28 + 4x Solving -18 + 3x = -28 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -18 + 3x + -4x = -28 + 4x + -4x Combine like terms: 3x + -4x = -1x -18 + -1x = -28 + 4x + -4x Combine like terms: 4x + -4x = 0 -18 + -1x = -28 + 0 -18 + -1x = -28 Add '18' to each side of the equation. -18 + 18 + -1x = -28 + 18 Combine like terms: -18 + 18 = 0 0 + -1x = -28 + 18 -1x = -28 + 18 Combine like terms: -28 + 18 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10
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