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Simplifying 2(4x + -7) + -4(x + -3) + 6x = 28 Reorder the terms: 2(-7 + 4x) + -4(x + -3) + 6x = 28 (-7 * 2 + 4x * 2) + -4(x + -3) + 6x = 28 (-14 + 8x) + -4(x + -3) + 6x = 28 Reorder the terms: -14 + 8x + -4(-3 + x) + 6x = 28 -14 + 8x + (-3 * -4 + x * -4) + 6x = 28 -14 + 8x + (12 + -4x) + 6x = 28 Reorder the terms: -14 + 12 + 8x + -4x + 6x = 28 Combine like terms: -14 + 12 = -2 -2 + 8x + -4x + 6x = 28 Combine like terms: 8x + -4x = 4x -2 + 4x + 6x = 28 Combine like terms: 4x + 6x = 10x -2 + 10x = 28 Solving -2 + 10x = 28 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 10x = 28 + 2 Combine like terms: -2 + 2 = 0 0 + 10x = 28 + 2 10x = 28 + 2 Combine like terms: 28 + 2 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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