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Simplifying 5(8 + x) = 4(x + -3) (8 * 5 + x * 5) = 4(x + -3) (40 + 5x) = 4(x + -3) Reorder the terms: 40 + 5x = 4(-3 + x) 40 + 5x = (-3 * 4 + x * 4) 40 + 5x = (-12 + 4x) Solving 40 + 5x = -12 + 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 + 5x + -4x = -12 + 4x + -4x Combine like terms: 5x + -4x = 1x 40 + 1x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 40 + 1x = -12 + 0 40 + 1x = -12 Add '-40' to each side of the equation. 40 + -40 + 1x = -12 + -40 Combine like terms: 40 + -40 = 0 0 + 1x = -12 + -40 1x = -12 + -40 Combine like terms: -12 + -40 = -52 1x = -52 Divide each side by '1'. x = -52 Simplifying x = -52
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