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Simplifying 2(4x + -3) + -7(x + 1) = 0 Reorder the terms: 2(-3 + 4x) + -7(x + 1) = 0 (-3 * 2 + 4x * 2) + -7(x + 1) = 0 (-6 + 8x) + -7(x + 1) = 0 Reorder the terms: -6 + 8x + -7(1 + x) = 0 -6 + 8x + (1 * -7 + x * -7) = 0 -6 + 8x + (-7 + -7x) = 0 Reorder the terms: -6 + -7 + 8x + -7x = 0 Combine like terms: -6 + -7 = -13 -13 + 8x + -7x = 0 Combine like terms: 8x + -7x = 1x -13 + 1x = 0 Solving -13 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 1x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 1x = 0 + 13 1x = 0 + 13 Combine like terms: 0 + 13 = 13 1x = 13 Divide each side by '1'. x = 13 Simplifying x = 13
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