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Simplifying 4x + 5(x + -12) = 4(x + -10) Reorder the terms: 4x + 5(-12 + x) = 4(x + -10) 4x + (-12 * 5 + x * 5) = 4(x + -10) 4x + (-60 + 5x) = 4(x + -10) Reorder the terms: -60 + 4x + 5x = 4(x + -10) Combine like terms: 4x + 5x = 9x -60 + 9x = 4(x + -10) Reorder the terms: -60 + 9x = 4(-10 + x) -60 + 9x = (-10 * 4 + x * 4) -60 + 9x = (-40 + 4x) Solving -60 + 9x = -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. -60 + 9x + -4x = -40 + 4x + -4x Combine like terms: 9x + -4x = 5x -60 + 5x = -40 + 4x + -4x Combine like terms: 4x + -4x = 0 -60 + 5x = -40 + 0 -60 + 5x = -40 Add '60' to each side of the equation. -60 + 60 + 5x = -40 + 60 Combine like terms: -60 + 60 = 0 0 + 5x = -40 + 60 5x = -40 + 60 Combine like terms: -40 + 60 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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