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Simplifying 4(2x + -7) + -2(6 + -1x) = 0 Reorder the terms: 4(-7 + 2x) + -2(6 + -1x) = 0 (-7 * 4 + 2x * 4) + -2(6 + -1x) = 0 (-28 + 8x) + -2(6 + -1x) = 0 -28 + 8x + (6 * -2 + -1x * -2) = 0 -28 + 8x + (-12 + 2x) = 0 Reorder the terms: -28 + -12 + 8x + 2x = 0 Combine like terms: -28 + -12 = -40 -40 + 8x + 2x = 0 Combine like terms: 8x + 2x = 10x -40 + 10x = 0 Solving -40 + 10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 10x = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 10x = 0 + 40 10x = 0 + 40 Combine like terms: 0 + 40 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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