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Simplifying -4(7x + 12) = 5(4x + -36) Reorder the terms: -4(12 + 7x) = 5(4x + -36) (12 * -4 + 7x * -4) = 5(4x + -36) (-48 + -28x) = 5(4x + -36) Reorder the terms: -48 + -28x = 5(-36 + 4x) -48 + -28x = (-36 * 5 + 4x * 5) -48 + -28x = (-180 + 20x) Solving -48 + -28x = -180 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -48 + -28x + -20x = -180 + 20x + -20x Combine like terms: -28x + -20x = -48x -48 + -48x = -180 + 20x + -20x Combine like terms: 20x + -20x = 0 -48 + -48x = -180 + 0 -48 + -48x = -180 Add '48' to each side of the equation. -48 + 48 + -48x = -180 + 48 Combine like terms: -48 + 48 = 0 0 + -48x = -180 + 48 -48x = -180 + 48 Combine like terms: -180 + 48 = -132 -48x = -132 Divide each side by '-48'. x = 2.75 Simplifying x = 2.75
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