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Simplifying 4(7x + 12) = 4(5x + -10) Reorder the terms: 4(12 + 7x) = 4(5x + -10) (12 * 4 + 7x * 4) = 4(5x + -10) (48 + 28x) = 4(5x + -10) Reorder the terms: 48 + 28x = 4(-10 + 5x) 48 + 28x = (-10 * 4 + 5x * 4) 48 + 28x = (-40 + 20x) Solving 48 + 28x = -40 + 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 = -40 + 20x + -20x Combine like terms: 28x + -20x = 8x 48 + 8x = -40 + 20x + -20x Combine like terms: 20x + -20x = 0 48 + 8x = -40 + 0 48 + 8x = -40 Add '-48' to each side of the equation. 48 + -48 + 8x = -40 + -48 Combine like terms: 48 + -48 = 0 0 + 8x = -40 + -48 8x = -40 + -48 Combine like terms: -40 + -48 = -88 8x = -88 Divide each side by '8'. x = -11 Simplifying x = -11
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