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Simplifying 12 + 2(x + -4) + 3x = 74 + -5x Reorder the terms: 12 + 2(-4 + x) + 3x = 74 + -5x 12 + (-4 * 2 + x * 2) + 3x = 74 + -5x 12 + (-8 + 2x) + 3x = 74 + -5x Combine like terms: 12 + -8 = 4 4 + 2x + 3x = 74 + -5x Combine like terms: 2x + 3x = 5x 4 + 5x = 74 + -5x Solving 4 + 5x = 74 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 4 + 5x + 5x = 74 + -5x + 5x Combine like terms: 5x + 5x = 10x 4 + 10x = 74 + -5x + 5x Combine like terms: -5x + 5x = 0 4 + 10x = 74 + 0 4 + 10x = 74 Add '-4' to each side of the equation. 4 + -4 + 10x = 74 + -4 Combine like terms: 4 + -4 = 0 0 + 10x = 74 + -4 10x = 74 + -4 Combine like terms: 74 + -4 = 70 10x = 70 Divide each side by '10'. x = 7 Simplifying x = 7
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