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Simplifying -4(5x + 9) = 4(-6x + -10) Reorder the terms: -4(9 + 5x) = 4(-6x + -10) (9 * -4 + 5x * -4) = 4(-6x + -10) (-36 + -20x) = 4(-6x + -10) Reorder the terms: -36 + -20x = 4(-10 + -6x) -36 + -20x = (-10 * 4 + -6x * 4) -36 + -20x = (-40 + -24x) Solving -36 + -20x = -40 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -36 + -20x + 24x = -40 + -24x + 24x Combine like terms: -20x + 24x = 4x -36 + 4x = -40 + -24x + 24x Combine like terms: -24x + 24x = 0 -36 + 4x = -40 + 0 -36 + 4x = -40 Add '36' to each side of the equation. -36 + 36 + 4x = -40 + 36 Combine like terms: -36 + 36 = 0 0 + 4x = -40 + 36 4x = -40 + 36 Combine like terms: -40 + 36 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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