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Simplifying 3x + 12 = 4(2 + -3x) + 10 Reorder the terms: 12 + 3x = 4(2 + -3x) + 10 12 + 3x = (2 * 4 + -3x * 4) + 10 12 + 3x = (8 + -12x) + 10 Reorder the terms: 12 + 3x = 8 + 10 + -12x Combine like terms: 8 + 10 = 18 12 + 3x = 18 + -12x Solving 12 + 3x = 18 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 12 + 3x + 12x = 18 + -12x + 12x Combine like terms: 3x + 12x = 15x 12 + 15x = 18 + -12x + 12x Combine like terms: -12x + 12x = 0 12 + 15x = 18 + 0 12 + 15x = 18 Add '-12' to each side of the equation. 12 + -12 + 15x = 18 + -12 Combine like terms: 12 + -12 = 0 0 + 15x = 18 + -12 15x = 18 + -12 Combine like terms: 18 + -12 = 6 15x = 6 Divide each side by '15'. x = 0.4 Simplifying x = 0.4
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