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Simplifying 4(x + -7) = 2x + 6 Reorder the terms: 4(-7 + x) = 2x + 6 (-7 * 4 + x * 4) = 2x + 6 (-28 + 4x) = 2x + 6 Reorder the terms: -28 + 4x = 6 + 2x Solving -28 + 4x = 6 + 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 = 6 + 2x + -2x Combine like terms: 4x + -2x = 2x -28 + 2x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -28 + 2x = 6 + 0 -28 + 2x = 6 Add '28' to each side of the equation. -28 + 28 + 2x = 6 + 28 Combine like terms: -28 + 28 = 0 0 + 2x = 6 + 28 2x = 6 + 28 Combine like terms: 6 + 28 = 34 2x = 34 Divide each side by '2'. x = 17 Simplifying x = 17
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