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Simplifying 7(x + 3) = 4[x + -1(5 + -1x)] Reorder the terms: 7(3 + x) = 4[x + -1(5 + -1x)] (3 * 7 + x * 7) = 4[x + -1(5 + -1x)] (21 + 7x) = 4[x + -1(5 + -1x)] 21 + 7x = 4[x + (5 * -1 + -1x * -1)] 21 + 7x = 4[x + (-5 + 1x)] Reorder the terms: 21 + 7x = 4[-5 + x + 1x] Combine like terms: x + 1x = 2x 21 + 7x = 4[-5 + 2x] 21 + 7x = [-5 * 4 + 2x * 4] 21 + 7x = [-20 + 8x] Solving 21 + 7x = -20 + 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. 21 + 7x + -8x = -20 + 8x + -8x Combine like terms: 7x + -8x = -1x 21 + -1x = -20 + 8x + -8x Combine like terms: 8x + -8x = 0 21 + -1x = -20 + 0 21 + -1x = -20 Add '-21' to each side of the equation. 21 + -21 + -1x = -20 + -21 Combine like terms: 21 + -21 = 0 0 + -1x = -20 + -21 -1x = -20 + -21 Combine like terms: -20 + -21 = -41 -1x = -41 Divide each side by '-1'. x = 41 Simplifying x = 41
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