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Simplifying 5[x + 2] = [5x + 10] * 4 Reorder the terms: 5[2 + x] = [5x + 10] * 4 [2 * 5 + x * 5] = [5x + 10] * 4 [10 + 5x] = [5x + 10] * 4 Reorder the terms: 10 + 5x = [10 + 5x] * 4 Reorder the terms for easier multiplication: 10 + 5x = 4[10 + 5x] 10 + 5x = [10 * 4 + 5x * 4] 10 + 5x = [40 + 20x] Solving 10 + 5x = 40 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 10 + 5x + -20x = 40 + 20x + -20x Combine like terms: 5x + -20x = -15x 10 + -15x = 40 + 20x + -20x Combine like terms: 20x + -20x = 0 10 + -15x = 40 + 0 10 + -15x = 40 Add '-10' to each side of the equation. 10 + -10 + -15x = 40 + -10 Combine like terms: 10 + -10 = 0 0 + -15x = 40 + -10 -15x = 40 + -10 Combine like terms: 40 + -10 = 30 -15x = 30 Divide each side by '-15'. x = -2 Simplifying x = -2
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