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Simplifying 3x + -10 = 2 + 6(5 + 4x) Reorder the terms: -10 + 3x = 2 + 6(5 + 4x) -10 + 3x = 2 + (5 * 6 + 4x * 6) -10 + 3x = 2 + (30 + 24x) Combine like terms: 2 + 30 = 32 -10 + 3x = 32 + 24x Solving -10 + 3x = 32 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -10 + 3x + -24x = 32 + 24x + -24x Combine like terms: 3x + -24x = -21x -10 + -21x = 32 + 24x + -24x Combine like terms: 24x + -24x = 0 -10 + -21x = 32 + 0 -10 + -21x = 32 Add '10' to each side of the equation. -10 + 10 + -21x = 32 + 10 Combine like terms: -10 + 10 = 0 0 + -21x = 32 + 10 -21x = 32 + 10 Combine like terms: 32 + 10 = 42 -21x = 42 Divide each side by '-21'. x = -2 Simplifying x = -2
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