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Simplifying 8(x + -5) + 37 = 7x + -4 Reorder the terms: 8(-5 + x) + 37 = 7x + -4 (-5 * 8 + x * 8) + 37 = 7x + -4 (-40 + 8x) + 37 = 7x + -4 Reorder the terms: -40 + 37 + 8x = 7x + -4 Combine like terms: -40 + 37 = -3 -3 + 8x = 7x + -4 Reorder the terms: -3 + 8x = -4 + 7x Solving -3 + 8x = -4 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -3 + 8x + -7x = -4 + 7x + -7x Combine like terms: 8x + -7x = 1x -3 + 1x = -4 + 7x + -7x Combine like terms: 7x + -7x = 0 -3 + 1x = -4 + 0 -3 + 1x = -4 Add '3' to each side of the equation. -3 + 3 + 1x = -4 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = -4 + 3 1x = -4 + 3 Combine like terms: -4 + 3 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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