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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 = -1x -46 + -1x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 -46 + -1x = 6 + 0 -46 + -1x = 6 Add '46' to each side of the equation. -46 + 46 + -1x = 6 + 46 Combine like terms: -46 + 46 = 0 0 + -1x = 6 + 46 -1x = 6 + 46 Combine like terms: 6 + 46 = 52 -1x = 52 Divide each side by '-1'. x = -52 Simplifying x = -52
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