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Simplifying -1 + 8(4x + -5) = 3(x + -4) Reorder the terms: -1 + 8(-5 + 4x) = 3(x + -4) -1 + (-5 * 8 + 4x * 8) = 3(x + -4) -1 + (-40 + 32x) = 3(x + -4) Combine like terms: -1 + -40 = -41 -41 + 32x = 3(x + -4) Reorder the terms: -41 + 32x = 3(-4 + x) -41 + 32x = (-4 * 3 + x * 3) -41 + 32x = (-12 + 3x) Solving -41 + 32x = -12 + 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 + 32x + -3x = -12 + 3x + -3x Combine like terms: 32x + -3x = 29x -41 + 29x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 -41 + 29x = -12 + 0 -41 + 29x = -12 Add '41' to each side of the equation. -41 + 41 + 29x = -12 + 41 Combine like terms: -41 + 41 = 0 0 + 29x = -12 + 41 29x = -12 + 41 Combine like terms: -12 + 41 = 29 29x = 29 Divide each side by '29'. x = 1 Simplifying x = 1
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