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Simplifying 3(4x + -7) = 2x + 5 Reorder the terms: 3(-7 + 4x) = 2x + 5 (-7 * 3 + 4x * 3) = 2x + 5 (-21 + 12x) = 2x + 5 Reorder the terms: -21 + 12x = 5 + 2x Solving -21 + 12x = 5 + 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. -21 + 12x + -2x = 5 + 2x + -2x Combine like terms: 12x + -2x = 10x -21 + 10x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 -21 + 10x = 5 + 0 -21 + 10x = 5 Add '21' to each side of the equation. -21 + 21 + 10x = 5 + 21 Combine like terms: -21 + 21 = 0 0 + 10x = 5 + 21 10x = 5 + 21 Combine like terms: 5 + 21 = 26 10x = 26 Divide each side by '10'. x = 2.6 Simplifying x = 2.6
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