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Simplifying 40 + 6x = 8(x + 7) + -4x Reorder the terms: 40 + 6x = 8(7 + x) + -4x 40 + 6x = (7 * 8 + x * 8) + -4x 40 + 6x = (56 + 8x) + -4x Combine like terms: 8x + -4x = 4x 40 + 6x = 56 + 4x Solving 40 + 6x = 56 + 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 + 6x + -4x = 56 + 4x + -4x Combine like terms: 6x + -4x = 2x 40 + 2x = 56 + 4x + -4x Combine like terms: 4x + -4x = 0 40 + 2x = 56 + 0 40 + 2x = 56 Add '-40' to each side of the equation. 40 + -40 + 2x = 56 + -40 Combine like terms: 40 + -40 = 0 0 + 2x = 56 + -40 2x = 56 + -40 Combine like terms: 56 + -40 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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