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Simplifying 8(x + 40) = 4(x + 1) Reorder the terms: 8(40 + x) = 4(x + 1) (40 * 8 + x * 8) = 4(x + 1) (320 + 8x) = 4(x + 1) Reorder the terms: 320 + 8x = 4(1 + x) 320 + 8x = (1 * 4 + x * 4) 320 + 8x = (4 + 4x) Solving 320 + 8x = 4 + 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. 320 + 8x + -4x = 4 + 4x + -4x Combine like terms: 8x + -4x = 4x 320 + 4x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 320 + 4x = 4 + 0 320 + 4x = 4 Add '-320' to each side of the equation. 320 + -320 + 4x = 4 + -320 Combine like terms: 320 + -320 = 0 0 + 4x = 4 + -320 4x = 4 + -320 Combine like terms: 4 + -320 = -316 4x = -316 Divide each side by '4'. x = -79 Simplifying x = -79
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