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Simplifying 6(2x + -7) + -6x = 4x + -28 Reorder the terms: 6(-7 + 2x) + -6x = 4x + -28 (-7 * 6 + 2x * 6) + -6x = 4x + -28 (-42 + 12x) + -6x = 4x + -28 Combine like terms: 12x + -6x = 6x -42 + 6x = 4x + -28 Reorder the terms: -42 + 6x = -28 + 4x Solving -42 + 6x = -28 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -42 + 6x + -4x = -28 + 4x + -4x Combine like terms: 6x + -4x = 2x -42 + 2x = -28 + 4x + -4x Combine like terms: 4x + -4x = 0 -42 + 2x = -28 + 0 -42 + 2x = -28 Add '42' to each side of the equation. -42 + 42 + 2x = -28 + 42 Combine like terms: -42 + 42 = 0 0 + 2x = -28 + 42 2x = -28 + 42 Combine like terms: -28 + 42 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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