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Simplifying 4[x + 5] = 7[x + 2] Reorder the terms: 4[5 + x] = 7[x + 2] [5 * 4 + x * 4] = 7[x + 2] [20 + 4x] = 7[x + 2] Reorder the terms: 20 + 4x = 7[2 + x] 20 + 4x = [2 * 7 + x * 7] 20 + 4x = [14 + 7x] Solving 20 + 4x = 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 + 4x + -7x = 14 + 7x + -7x Combine like terms: 4x + -7x = -3x 20 + -3x = 14 + 7x + -7x Combine like terms: 7x + -7x = 0 20 + -3x = 14 + 0 20 + -3x = 14 Add '-20' to each side of the equation. 20 + -20 + -3x = 14 + -20 Combine like terms: 20 + -20 = 0 0 + -3x = 14 + -20 -3x = 14 + -20 Combine like terms: 14 + -20 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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