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Simplifying 6 + -4(2x + 10) = -3(x + -2) Reorder the terms: 6 + -4(10 + 2x) = -3(x + -2) 6 + (10 * -4 + 2x * -4) = -3(x + -2) 6 + (-40 + -8x) = -3(x + -2) Combine like terms: 6 + -40 = -34 -34 + -8x = -3(x + -2) Reorder the terms: -34 + -8x = -3(-2 + x) -34 + -8x = (-2 * -3 + x * -3) -34 + -8x = (6 + -3x) Solving -34 + -8x = 6 + -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. -34 + -8x + 3x = 6 + -3x + 3x Combine like terms: -8x + 3x = -5x -34 + -5x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 -34 + -5x = 6 + 0 -34 + -5x = 6 Add '34' to each side of the equation. -34 + 34 + -5x = 6 + 34 Combine like terms: -34 + 34 = 0 0 + -5x = 6 + 34 -5x = 6 + 34 Combine like terms: 6 + 34 = 40 -5x = 40 Divide each side by '-5'. x = -8 Simplifying x = -8
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