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Simplifying 3 + -5(8 + 8x) = -5 + -8(x + -4) 3 + (8 * -5 + 8x * -5) = -5 + -8(x + -4) 3 + (-40 + -40x) = -5 + -8(x + -4) Combine like terms: 3 + -40 = -37 -37 + -40x = -5 + -8(x + -4) Reorder the terms: -37 + -40x = -5 + -8(-4 + x) -37 + -40x = -5 + (-4 * -8 + x * -8) -37 + -40x = -5 + (32 + -8x) Combine like terms: -5 + 32 = 27 -37 + -40x = 27 + -8x Solving -37 + -40x = 27 + -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. -37 + -40x + 8x = 27 + -8x + 8x Combine like terms: -40x + 8x = -32x -37 + -32x = 27 + -8x + 8x Combine like terms: -8x + 8x = 0 -37 + -32x = 27 + 0 -37 + -32x = 27 Add '37' to each side of the equation. -37 + 37 + -32x = 27 + 37 Combine like terms: -37 + 37 = 0 0 + -32x = 27 + 37 -32x = 27 + 37 Combine like terms: 27 + 37 = 64 -32x = 64 Divide each side by '-32'. x = -2 Simplifying x = -2
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