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Simplifying 4[x + 5] = -2[x + -28] Reorder the terms: 4[5 + x] = -2[x + -28] [5 * 4 + x * 4] = -2[x + -28] [20 + 4x] = -2[x + -28] Reorder the terms: 20 + 4x = -2[-28 + x] 20 + 4x = [-28 * -2 + x * -2] 20 + 4x = [56 + -2x] Solving 20 + 4x = 56 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 20 + 4x + 2x = 56 + -2x + 2x Combine like terms: 4x + 2x = 6x 20 + 6x = 56 + -2x + 2x Combine like terms: -2x + 2x = 0 20 + 6x = 56 + 0 20 + 6x = 56 Add '-20' to each side of the equation. 20 + -20 + 6x = 56 + -20 Combine like terms: 20 + -20 = 0 0 + 6x = 56 + -20 6x = 56 + -20 Combine like terms: 56 + -20 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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