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Simplifying 3(4x + -7) = 2(7x + 13) Reorder the terms: 3(-7 + 4x) = 2(7x + 13) (-7 * 3 + 4x * 3) = 2(7x + 13) (-21 + 12x) = 2(7x + 13) Reorder the terms: -21 + 12x = 2(13 + 7x) -21 + 12x = (13 * 2 + 7x * 2) -21 + 12x = (26 + 14x) Solving -21 + 12x = 26 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -21 + 12x + -14x = 26 + 14x + -14x Combine like terms: 12x + -14x = -2x -21 + -2x = 26 + 14x + -14x Combine like terms: 14x + -14x = 0 -21 + -2x = 26 + 0 -21 + -2x = 26 Add '21' to each side of the equation. -21 + 21 + -2x = 26 + 21 Combine like terms: -21 + 21 = 0 0 + -2x = 26 + 21 -2x = 26 + 21 Combine like terms: 26 + 21 = 47 -2x = 47 Divide each side by '-2'. x = -23.5 Simplifying x = -23.5
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