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Simplifying 5(2X + -4) = 7(X + 1) * 3 Reorder the terms: 5(-4 + 2X) = 7(X + 1) * 3 (-4 * 5 + 2X * 5) = 7(X + 1) * 3 (-20 + 10X) = 7(X + 1) * 3 Reorder the terms: -20 + 10X = 7(1 + X) * 3 Reorder the terms for easier multiplication: -20 + 10X = 7 * 3(1 + X) Multiply 7 * 3 -20 + 10X = 21(1 + X) -20 + 10X = (1 * 21 + X * 21) -20 + 10X = (21 + 21X) Solving -20 + 10X = 21 + 21X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-21X' to each side of the equation. -20 + 10X + -21X = 21 + 21X + -21X Combine like terms: 10X + -21X = -11X -20 + -11X = 21 + 21X + -21X Combine like terms: 21X + -21X = 0 -20 + -11X = 21 + 0 -20 + -11X = 21 Add '20' to each side of the equation. -20 + 20 + -11X = 21 + 20 Combine like terms: -20 + 20 = 0 0 + -11X = 21 + 20 -11X = 21 + 20 Combine like terms: 21 + 20 = 41 -11X = 41 Divide each side by '-11'. X = -3.727272727 Simplifying X = -3.727272727
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