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Simplifying 4x + -1(9x + -2) = -4(3x + 10) Reorder the terms: 4x + -1(-2 + 9x) = -4(3x + 10) 4x + (-2 * -1 + 9x * -1) = -4(3x + 10) 4x + (2 + -9x) = -4(3x + 10) Reorder the terms: 2 + 4x + -9x = -4(3x + 10) Combine like terms: 4x + -9x = -5x 2 + -5x = -4(3x + 10) Reorder the terms: 2 + -5x = -4(10 + 3x) 2 + -5x = (10 * -4 + 3x * -4) 2 + -5x = (-40 + -12x) Solving 2 + -5x = -40 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 2 + -5x + 12x = -40 + -12x + 12x Combine like terms: -5x + 12x = 7x 2 + 7x = -40 + -12x + 12x Combine like terms: -12x + 12x = 0 2 + 7x = -40 + 0 2 + 7x = -40 Add '-2' to each side of the equation. 2 + -2 + 7x = -40 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = -40 + -2 7x = -40 + -2 Combine like terms: -40 + -2 = -42 7x = -42 Divide each side by '7'. x = -6 Simplifying x = -6
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