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Simplifying -4(x + 10) + -6 = 3(x + -2) Reorder the terms: -4(10 + x) + -6 = 3(x + -2) (10 * -4 + x * -4) + -6 = 3(x + -2) (-40 + -4x) + -6 = 3(x + -2) Reorder the terms: -40 + -6 + -4x = 3(x + -2) Combine like terms: -40 + -6 = -46 -46 + -4x = 3(x + -2) Reorder the terms: -46 + -4x = 3(-2 + x) -46 + -4x = (-2 * 3 + x * 3) -46 + -4x = (-6 + 3x) Solving -46 + -4x = -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. -46 + -4x + -3x = -6 + 3x + -3x Combine like terms: -4x + -3x = -7x -46 + -7x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -46 + -7x = -6 + 0 -46 + -7x = -6 Add '46' to each side of the equation. -46 + 46 + -7x = -6 + 46 Combine like terms: -46 + 46 = 0 0 + -7x = -6 + 46 -7x = -6 + 46 Combine like terms: -6 + 46 = 40 -7x = 40 Divide each side by '-7'. x = -5.714285714 Simplifying x = -5.714285714
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