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Simplifying 4[x + -7] = 2(x + 8) Reorder the terms: 4[-7 + x] = 2(x + 8) [-7 * 4 + x * 4] = 2(x + 8) [-28 + 4x] = 2(x + 8) Reorder the terms: -28 + 4x = 2(8 + x) -28 + 4x = (8 * 2 + x * 2) -28 + 4x = (16 + 2x) Solving -28 + 4x = 16 + 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. -28 + 4x + -2x = 16 + 2x + -2x Combine like terms: 4x + -2x = 2x -28 + 2x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 -28 + 2x = 16 + 0 -28 + 2x = 16 Add '28' to each side of the equation. -28 + 28 + 2x = 16 + 28 Combine like terms: -28 + 28 = 0 0 + 2x = 16 + 28 2x = 16 + 28 Combine like terms: 16 + 28 = 44 2x = 44 Divide each side by '2'. x = 22 Simplifying x = 22
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