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Simplifying 38 + -1x = 8(-5x + -5) Reorder the terms: 38 + -1x = 8(-5 + -5x) 38 + -1x = (-5 * 8 + -5x * 8) 38 + -1x = (-40 + -40x) Solving 38 + -1x = -40 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. 38 + -1x + 40x = -40 + -40x + 40x Combine like terms: -1x + 40x = 39x 38 + 39x = -40 + -40x + 40x Combine like terms: -40x + 40x = 0 38 + 39x = -40 + 0 38 + 39x = -40 Add '-38' to each side of the equation. 38 + -38 + 39x = -40 + -38 Combine like terms: 38 + -38 = 0 0 + 39x = -40 + -38 39x = -40 + -38 Combine like terms: -40 + -38 = -78 39x = -78 Divide each side by '39'. x = -2 Simplifying x = -2
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