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Simplifying 8(2x + -5) + -8x = 4 + -4(x + -1) Reorder the terms: 8(-5 + 2x) + -8x = 4 + -4(x + -1) (-5 * 8 + 2x * 8) + -8x = 4 + -4(x + -1) (-40 + 16x) + -8x = 4 + -4(x + -1) Combine like terms: 16x + -8x = 8x -40 + 8x = 4 + -4(x + -1) Reorder the terms: -40 + 8x = 4 + -4(-1 + x) -40 + 8x = 4 + (-1 * -4 + x * -4) -40 + 8x = 4 + (4 + -4x) Combine like terms: 4 + 4 = 8 -40 + 8x = 8 + -4x Solving -40 + 8x = 8 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -40 + 8x + 4x = 8 + -4x + 4x Combine like terms: 8x + 4x = 12x -40 + 12x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 -40 + 12x = 8 + 0 -40 + 12x = 8 Add '40' to each side of the equation. -40 + 40 + 12x = 8 + 40 Combine like terms: -40 + 40 = 0 0 + 12x = 8 + 40 12x = 8 + 40 Combine like terms: 8 + 40 = 48 12x = 48 Divide each side by '12'. x = 4 Simplifying x = 4
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