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Simplifying 3x + 4(x + -10) = 3(x + -8) Reorder the terms: 3x + 4(-10 + x) = 3(x + -8) 3x + (-10 * 4 + x * 4) = 3(x + -8) 3x + (-40 + 4x) = 3(x + -8) Reorder the terms: -40 + 3x + 4x = 3(x + -8) Combine like terms: 3x + 4x = 7x -40 + 7x = 3(x + -8) Reorder the terms: -40 + 7x = 3(-8 + x) -40 + 7x = (-8 * 3 + x * 3) -40 + 7x = (-24 + 3x) Solving -40 + 7x = -24 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -40 + 7x + -3x = -24 + 3x + -3x Combine like terms: 7x + -3x = 4x -40 + 4x = -24 + 3x + -3x Combine like terms: 3x + -3x = 0 -40 + 4x = -24 + 0 -40 + 4x = -24 Add '40' to each side of the equation. -40 + 40 + 4x = -24 + 40 Combine like terms: -40 + 40 = 0 0 + 4x = -24 + 40 4x = -24 + 40 Combine like terms: -24 + 40 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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