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Simplifying 6(4x + -5) = 4(x + -10) Reorder the terms: 6(-5 + 4x) = 4(x + -10) (-5 * 6 + 4x * 6) = 4(x + -10) (-30 + 24x) = 4(x + -10) Reorder the terms: -30 + 24x = 4(-10 + x) -30 + 24x = (-10 * 4 + x * 4) -30 + 24x = (-40 + 4x) Solving -30 + 24x = -40 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -30 + 24x + -4x = -40 + 4x + -4x Combine like terms: 24x + -4x = 20x -30 + 20x = -40 + 4x + -4x Combine like terms: 4x + -4x = 0 -30 + 20x = -40 + 0 -30 + 20x = -40 Add '30' to each side of the equation. -30 + 30 + 20x = -40 + 30 Combine like terms: -30 + 30 = 0 0 + 20x = -40 + 30 20x = -40 + 30 Combine like terms: -40 + 30 = -10 20x = -10 Divide each side by '20'. x = -0.5 Simplifying x = -0.5
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