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Simplifying 4(3x + -4) + -4 = 2x + 30 Reorder the terms: 4(-4 + 3x) + -4 = 2x + 30 (-4 * 4 + 3x * 4) + -4 = 2x + 30 (-16 + 12x) + -4 = 2x + 30 Reorder the terms: -16 + -4 + 12x = 2x + 30 Combine like terms: -16 + -4 = -20 -20 + 12x = 2x + 30 Reorder the terms: -20 + 12x = 30 + 2x Solving -20 + 12x = 30 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -20 + 12x + -2x = 30 + 2x + -2x Combine like terms: 12x + -2x = 10x -20 + 10x = 30 + 2x + -2x Combine like terms: 2x + -2x = 0 -20 + 10x = 30 + 0 -20 + 10x = 30 Add '20' to each side of the equation. -20 + 20 + 10x = 30 + 20 Combine like terms: -20 + 20 = 0 0 + 10x = 30 + 20 10x = 30 + 20 Combine like terms: 30 + 20 = 50 10x = 50 Divide each side by '10'. x = 5 Simplifying x = 5
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