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Simplifying 2(x + -5) + 6(x + 1) = 28 Reorder the terms: 2(-5 + x) + 6(x + 1) = 28 (-5 * 2 + x * 2) + 6(x + 1) = 28 (-10 + 2x) + 6(x + 1) = 28 Reorder the terms: -10 + 2x + 6(1 + x) = 28 -10 + 2x + (1 * 6 + x * 6) = 28 -10 + 2x + (6 + 6x) = 28 Reorder the terms: -10 + 6 + 2x + 6x = 28 Combine like terms: -10 + 6 = -4 -4 + 2x + 6x = 28 Combine like terms: 2x + 6x = 8x -4 + 8x = 28 Solving -4 + 8x = 28 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 8x = 28 + 4 Combine like terms: -4 + 4 = 0 0 + 8x = 28 + 4 8x = 28 + 4 Combine like terms: 28 + 4 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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