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Simplifying 7(x + -3) + -8(x + 2) = 0 Reorder the terms: 7(-3 + x) + -8(x + 2) = 0 (-3 * 7 + x * 7) + -8(x + 2) = 0 (-21 + 7x) + -8(x + 2) = 0 Reorder the terms: -21 + 7x + -8(2 + x) = 0 -21 + 7x + (2 * -8 + x * -8) = 0 -21 + 7x + (-16 + -8x) = 0 Reorder the terms: -21 + -16 + 7x + -8x = 0 Combine like terms: -21 + -16 = -37 -37 + 7x + -8x = 0 Combine like terms: 7x + -8x = -1x -37 + -1x = 0 Solving -37 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + -1x = 0 + 37 Combine like terms: -37 + 37 = 0 0 + -1x = 0 + 37 -1x = 0 + 37 Combine like terms: 0 + 37 = 37 -1x = 37 Divide each side by '-1'. x = -37 Simplifying x = -37
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