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Simplifying 2(x + -7) + -3(x + 8) = 0 Reorder the terms: 2(-7 + x) + -3(x + 8) = 0 (-7 * 2 + x * 2) + -3(x + 8) = 0 (-14 + 2x) + -3(x + 8) = 0 Reorder the terms: -14 + 2x + -3(8 + x) = 0 -14 + 2x + (8 * -3 + x * -3) = 0 -14 + 2x + (-24 + -3x) = 0 Reorder the terms: -14 + -24 + 2x + -3x = 0 Combine like terms: -14 + -24 = -38 -38 + 2x + -3x = 0 Combine like terms: 2x + -3x = -1x -38 + -1x = 0 Solving -38 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + -1x = 0 + 38 Combine like terms: -38 + 38 = 0 0 + -1x = 0 + 38 -1x = 0 + 38 Combine like terms: 0 + 38 = 38 -1x = 38 Divide each side by '-1'. x = -38 Simplifying x = -38
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