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Simplifying 5[x + 4] = 7[x + -2] Reorder the terms: 5[4 + x] = 7[x + -2] [4 * 5 + x * 5] = 7[x + -2] [20 + 5x] = 7[x + -2] Reorder the terms: 20 + 5x = 7[-2 + x] 20 + 5x = [-2 * 7 + x * 7] 20 + 5x = [-14 + 7x] Solving 20 + 5x = -14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 20 + 5x + -7x = -14 + 7x + -7x Combine like terms: 5x + -7x = -2x 20 + -2x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 20 + -2x = -14 + 0 20 + -2x = -14 Add '-20' to each side of the equation. 20 + -20 + -2x = -14 + -20 Combine like terms: 20 + -20 = 0 0 + -2x = -14 + -20 -2x = -14 + -20 Combine like terms: -14 + -20 = -34 -2x = -34 Divide each side by '-2'. x = 17 Simplifying x = 17
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