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Simplifying 3x + 4(x + 6) = 10x + 12 Reorder the terms: 3x + 4(6 + x) = 10x + 12 3x + (6 * 4 + x * 4) = 10x + 12 3x + (24 + 4x) = 10x + 12 Reorder the terms: 24 + 3x + 4x = 10x + 12 Combine like terms: 3x + 4x = 7x 24 + 7x = 10x + 12 Reorder the terms: 24 + 7x = 12 + 10x Solving 24 + 7x = 12 + 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. 24 + 7x + -10x = 12 + 10x + -10x Combine like terms: 7x + -10x = -3x 24 + -3x = 12 + 10x + -10x Combine like terms: 10x + -10x = 0 24 + -3x = 12 + 0 24 + -3x = 12 Add '-24' to each side of the equation. 24 + -24 + -3x = 12 + -24 Combine like terms: 24 + -24 = 0 0 + -3x = 12 + -24 -3x = 12 + -24 Combine like terms: 12 + -24 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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