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Simplifying 8(x + -5) = 3(x + -2) + 1 Reorder the terms: 8(-5 + x) = 3(x + -2) + 1 (-5 * 8 + x * 8) = 3(x + -2) + 1 (-40 + 8x) = 3(x + -2) + 1 Reorder the terms: -40 + 8x = 3(-2 + x) + 1 -40 + 8x = (-2 * 3 + x * 3) + 1 -40 + 8x = (-6 + 3x) + 1 Reorder the terms: -40 + 8x = -6 + 1 + 3x Combine like terms: -6 + 1 = -5 -40 + 8x = -5 + 3x Solving -40 + 8x = -5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -40 + 8x + -3x = -5 + 3x + -3x Combine like terms: 8x + -3x = 5x -40 + 5x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 -40 + 5x = -5 + 0 -40 + 5x = -5 Add '40' to each side of the equation. -40 + 40 + 5x = -5 + 40 Combine like terms: -40 + 40 = 0 0 + 5x = -5 + 40 5x = -5 + 40 Combine like terms: -5 + 40 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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