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Simplifying 4(3x + -6) + 10 = 10x + 18 Reorder the terms: 4(-6 + 3x) + 10 = 10x + 18 (-6 * 4 + 3x * 4) + 10 = 10x + 18 (-24 + 12x) + 10 = 10x + 18 Reorder the terms: -24 + 10 + 12x = 10x + 18 Combine like terms: -24 + 10 = -14 -14 + 12x = 10x + 18 Reorder the terms: -14 + 12x = 18 + 10x Solving -14 + 12x = 18 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -14 + 12x + -10x = 18 + 10x + -10x Combine like terms: 12x + -10x = 2x -14 + 2x = 18 + 10x + -10x Combine like terms: 10x + -10x = 0 -14 + 2x = 18 + 0 -14 + 2x = 18 Add '14' to each side of the equation. -14 + 14 + 2x = 18 + 14 Combine like terms: -14 + 14 = 0 0 + 2x = 18 + 14 2x = 18 + 14 Combine like terms: 18 + 14 = 32 2x = 32 Divide each side by '2'. x = 16 Simplifying x = 16
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