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Simplifying 5[x + -6] + 2 = 7x + -6 Reorder the terms: 5[-6 + x] + 2 = 7x + -6 [-6 * 5 + x * 5] + 2 = 7x + -6 [-30 + 5x] + 2 = 7x + -6 Reorder the terms: -30 + 2 + 5x = 7x + -6 Combine like terms: -30 + 2 = -28 -28 + 5x = 7x + -6 Reorder the terms: -28 + 5x = -6 + 7x Solving -28 + 5x = -6 + 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. -28 + 5x + -7x = -6 + 7x + -7x Combine like terms: 5x + -7x = -2x -28 + -2x = -6 + 7x + -7x Combine like terms: 7x + -7x = 0 -28 + -2x = -6 + 0 -28 + -2x = -6 Add '28' to each side of the equation. -28 + 28 + -2x = -6 + 28 Combine like terms: -28 + 28 = 0 0 + -2x = -6 + 28 -2x = -6 + 28 Combine like terms: -6 + 28 = 22 -2x = 22 Divide each side by '-2'. x = -11 Simplifying x = -11
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