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Simplifying 6(x + 5) = 2(x + 1) + 28 Reorder the terms: 6(5 + x) = 2(x + 1) + 28 (5 * 6 + x * 6) = 2(x + 1) + 28 (30 + 6x) = 2(x + 1) + 28 Reorder the terms: 30 + 6x = 2(1 + x) + 28 30 + 6x = (1 * 2 + x * 2) + 28 30 + 6x = (2 + 2x) + 28 Reorder the terms: 30 + 6x = 2 + 28 + 2x Combine like terms: 2 + 28 = 30 30 + 6x = 30 + 2x Add '-30' to each side of the equation. 30 + -30 + 6x = 30 + -30 + 2x Combine like terms: 30 + -30 = 0 0 + 6x = 30 + -30 + 2x 6x = 30 + -30 + 2x Combine like terms: 30 + -30 = 0 6x = 0 + 2x 6x = 2x Solving 6x = 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. 6x + -2x = 2x + -2x Combine like terms: 6x + -2x = 4x 4x = 2x + -2x Combine like terms: 2x + -2x = 0 4x = 0 Divide each side by '4'. x = 0 Simplifying x = 0
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