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Simplifying 38 + 7x = 8(x + -5) Reorder the terms: 38 + 7x = 8(-5 + x) 38 + 7x = (-5 * 8 + x * 8) 38 + 7x = (-40 + 8x) Solving 38 + 7x = -40 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 38 + 7x + -8x = -40 + 8x + -8x Combine like terms: 7x + -8x = -1x 38 + -1x = -40 + 8x + -8x Combine like terms: 8x + -8x = 0 38 + -1x = -40 + 0 38 + -1x = -40 Add '-38' to each side of the equation. 38 + -38 + -1x = -40 + -38 Combine like terms: 38 + -38 = 0 0 + -1x = -40 + -38 -1x = -40 + -38 Combine like terms: -40 + -38 = -78 -1x = -78 Divide each side by '-1'. x = 78 Simplifying x = 78
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