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Simplifying 4(x + 7) + -5(x + 8) = 0 Reorder the terms: 4(7 + x) + -5(x + 8) = 0 (7 * 4 + x * 4) + -5(x + 8) = 0 (28 + 4x) + -5(x + 8) = 0 Reorder the terms: 28 + 4x + -5(8 + x) = 0 28 + 4x + (8 * -5 + x * -5) = 0 28 + 4x + (-40 + -5x) = 0 Reorder the terms: 28 + -40 + 4x + -5x = 0 Combine like terms: 28 + -40 = -12 -12 + 4x + -5x = 0 Combine like terms: 4x + -5x = -1x -12 + -1x = 0 Solving -12 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 0 + 12 -1x = 0 + 12 Combine like terms: 0 + 12 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12
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