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Simplifying 4(3x + -7) + 8 = 2x + 10 Reorder the terms: 4(-7 + 3x) + 8 = 2x + 10 (-7 * 4 + 3x * 4) + 8 = 2x + 10 (-28 + 12x) + 8 = 2x + 10 Reorder the terms: -28 + 8 + 12x = 2x + 10 Combine like terms: -28 + 8 = -20 -20 + 12x = 2x + 10 Reorder the terms: -20 + 12x = 10 + 2x Solving -20 + 12x = 10 + 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 = 10 + 2x + -2x Combine like terms: 12x + -2x = 10x -20 + 10x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -20 + 10x = 10 + 0 -20 + 10x = 10 Add '20' to each side of the equation. -20 + 20 + 10x = 10 + 20 Combine like terms: -20 + 20 = 0 0 + 10x = 10 + 20 10x = 10 + 20 Combine like terms: 10 + 20 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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