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Simplifying -4(x + 10) = -3(x + -2) Reorder the terms: -4(10 + x) = -3(x + -2) (10 * -4 + x * -4) = -3(x + -2) (-40 + -4x) = -3(x + -2) Reorder the terms: -40 + -4x = -3(-2 + x) -40 + -4x = (-2 * -3 + x * -3) -40 + -4x = (6 + -3x) Solving -40 + -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. -40 + -4x + 3x = 6 + -3x + 3x Combine like terms: -4x + 3x = -1x -40 + -1x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 -40 + -1x = 6 + 0 -40 + -1x = 6 Add '40' to each side of the equation. -40 + 40 + -1x = 6 + 40 Combine like terms: -40 + 40 = 0 0 + -1x = 6 + 40 -1x = 6 + 40 Combine like terms: 6 + 40 = 46 -1x = 46 Divide each side by '-1'. x = -46 Simplifying x = -46
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