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Simplifying -4x + 40 = 4(1 + 8x) Reorder the terms: 40 + -4x = 4(1 + 8x) 40 + -4x = (1 * 4 + 8x * 4) 40 + -4x = (4 + 32x) Solving 40 + -4x = 4 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 40 + -4x + -32x = 4 + 32x + -32x Combine like terms: -4x + -32x = -36x 40 + -36x = 4 + 32x + -32x Combine like terms: 32x + -32x = 0 40 + -36x = 4 + 0 40 + -36x = 4 Add '-40' to each side of the equation. 40 + -40 + -36x = 4 + -40 Combine like terms: 40 + -40 = 0 0 + -36x = 4 + -40 -36x = 4 + -40 Combine like terms: 4 + -40 = -36 -36x = -36 Divide each side by '-36'. x = 1 Simplifying x = 1
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