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Simplifying 3x + -18 + -24 = 4x + -10 Reorder the terms: -18 + -24 + 3x = 4x + -10 Combine like terms: -18 + -24 = -42 -42 + 3x = 4x + -10 Reorder the terms: -42 + 3x = -10 + 4x Solving -42 + 3x = -10 + 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. -42 + 3x + -4x = -10 + 4x + -4x Combine like terms: 3x + -4x = -1x -42 + -1x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 -42 + -1x = -10 + 0 -42 + -1x = -10 Add '42' to each side of the equation. -42 + 42 + -1x = -10 + 42 Combine like terms: -42 + 42 = 0 0 + -1x = -10 + 42 -1x = -10 + 42 Combine like terms: -10 + 42 = 32 -1x = 32 Divide each side by '-1'. x = -32 Simplifying x = -32
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