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Simplifying 7x + -3(x + 6) = 2(x + 5) + 4 Reorder the terms: 7x + -3(6 + x) = 2(x + 5) + 4 7x + (6 * -3 + x * -3) = 2(x + 5) + 4 7x + (-18 + -3x) = 2(x + 5) + 4 Reorder the terms: -18 + 7x + -3x = 2(x + 5) + 4 Combine like terms: 7x + -3x = 4x -18 + 4x = 2(x + 5) + 4 Reorder the terms: -18 + 4x = 2(5 + x) + 4 -18 + 4x = (5 * 2 + x * 2) + 4 -18 + 4x = (10 + 2x) + 4 Reorder the terms: -18 + 4x = 10 + 4 + 2x Combine like terms: 10 + 4 = 14 -18 + 4x = 14 + 2x Solving -18 + 4x = 14 + 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. -18 + 4x + -2x = 14 + 2x + -2x Combine like terms: 4x + -2x = 2x -18 + 2x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 -18 + 2x = 14 + 0 -18 + 2x = 14 Add '18' to each side of the equation. -18 + 18 + 2x = 14 + 18 Combine like terms: -18 + 18 = 0 0 + 2x = 14 + 18 2x = 14 + 18 Combine like terms: 14 + 18 = 32 2x = 32 Divide each side by '2'. x = 16 Simplifying x = 16
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