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Simplifying 8x + -1(7 + -3x) = 4(2x + -10) 8x + (7 * -1 + -3x * -1) = 4(2x + -10) 8x + (-7 + 3x) = 4(2x + -10) Reorder the terms: -7 + 8x + 3x = 4(2x + -10) Combine like terms: 8x + 3x = 11x -7 + 11x = 4(2x + -10) Reorder the terms: -7 + 11x = 4(-10 + 2x) -7 + 11x = (-10 * 4 + 2x * 4) -7 + 11x = (-40 + 8x) Solving -7 + 11x = -40 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -7 + 11x + -8x = -40 + 8x + -8x Combine like terms: 11x + -8x = 3x -7 + 3x = -40 + 8x + -8x Combine like terms: 8x + -8x = 0 -7 + 3x = -40 + 0 -7 + 3x = -40 Add '7' to each side of the equation. -7 + 7 + 3x = -40 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = -40 + 7 3x = -40 + 7 Combine like terms: -40 + 7 = -33 3x = -33 Divide each side by '3'. x = -11 Simplifying x = -11
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