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Simplifying 5 + -4(x + 10) + -6 = 8 + -3(x + -2) Reorder the terms: 5 + -4(10 + x) + -6 = 8 + -3(x + -2) 5 + (10 * -4 + x * -4) + -6 = 8 + -3(x + -2) 5 + (-40 + -4x) + -6 = 8 + -3(x + -2) Reorder the terms: 5 + -40 + -6 + -4x = 8 + -3(x + -2) Combine like terms: 5 + -40 = -35 -35 + -6 + -4x = 8 + -3(x + -2) Combine like terms: -35 + -6 = -41 -41 + -4x = 8 + -3(x + -2) Reorder the terms: -41 + -4x = 8 + -3(-2 + x) -41 + -4x = 8 + (-2 * -3 + x * -3) -41 + -4x = 8 + (6 + -3x) Combine like terms: 8 + 6 = 14 -41 + -4x = 14 + -3x Solving -41 + -4x = 14 + -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. -41 + -4x + 3x = 14 + -3x + 3x Combine like terms: -4x + 3x = -1x -41 + -1x = 14 + -3x + 3x Combine like terms: -3x + 3x = 0 -41 + -1x = 14 + 0 -41 + -1x = 14 Add '41' to each side of the equation. -41 + 41 + -1x = 14 + 41 Combine like terms: -41 + 41 = 0 0 + -1x = 14 + 41 -1x = 14 + 41 Combine like terms: 14 + 41 = 55 -1x = 55 Divide each side by '-1'. x = -55 Simplifying x = -55
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