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Simplifying 5(x + -6) + 2 = 7x + 2 Reorder the terms: 5(-6 + x) + 2 = 7x + 2 (-6 * 5 + x * 5) + 2 = 7x + 2 (-30 + 5x) + 2 = 7x + 2 Reorder the terms: -30 + 2 + 5x = 7x + 2 Combine like terms: -30 + 2 = -28 -28 + 5x = 7x + 2 Reorder the terms: -28 + 5x = 2 + 7x Solving -28 + 5x = 2 + 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 = 2 + 7x + -7x Combine like terms: 5x + -7x = -2x -28 + -2x = 2 + 7x + -7x Combine like terms: 7x + -7x = 0 -28 + -2x = 2 + 0 -28 + -2x = 2 Add '28' to each side of the equation. -28 + 28 + -2x = 2 + 28 Combine like terms: -28 + 28 = 0 0 + -2x = 2 + 28 -2x = 2 + 28 Combine like terms: 2 + 28 = 30 -2x = 30 Divide each side by '-2'. x = -15 Simplifying x = -15
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