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Simplifying 5x + 4(3x + -10) = 2(x + -4) Reorder the terms: 5x + 4(-10 + 3x) = 2(x + -4) 5x + (-10 * 4 + 3x * 4) = 2(x + -4) 5x + (-40 + 12x) = 2(x + -4) Reorder the terms: -40 + 5x + 12x = 2(x + -4) Combine like terms: 5x + 12x = 17x -40 + 17x = 2(x + -4) Reorder the terms: -40 + 17x = 2(-4 + x) -40 + 17x = (-4 * 2 + x * 2) -40 + 17x = (-8 + 2x) Solving -40 + 17x = -8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -40 + 17x + -2x = -8 + 2x + -2x Combine like terms: 17x + -2x = 15x -40 + 15x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 -40 + 15x = -8 + 0 -40 + 15x = -8 Add '40' to each side of the equation. -40 + 40 + 15x = -8 + 40 Combine like terms: -40 + 40 = 0 0 + 15x = -8 + 40 15x = -8 + 40 Combine like terms: -8 + 40 = 32 15x = 32 Divide each side by '15'. x = 2.133333333 Simplifying x = 2.133333333
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