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Simplifying -4(x + -7) + 3(x + 9) = 0 Reorder the terms: -4(-7 + x) + 3(x + 9) = 0 (-7 * -4 + x * -4) + 3(x + 9) = 0 (28 + -4x) + 3(x + 9) = 0 Reorder the terms: 28 + -4x + 3(9 + x) = 0 28 + -4x + (9 * 3 + x * 3) = 0 28 + -4x + (27 + 3x) = 0 Reorder the terms: 28 + 27 + -4x + 3x = 0 Combine like terms: 28 + 27 = 55 55 + -4x + 3x = 0 Combine like terms: -4x + 3x = -1x 55 + -1x = 0 Solving 55 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + -1x = 0 + -55 Combine like terms: 55 + -55 = 0 0 + -1x = 0 + -55 -1x = 0 + -55 Combine like terms: 0 + -55 = -55 -1x = -55 Divide each side by '-1'. x = 55 Simplifying x = 55
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