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Simplifying 8(2x + -5) = 7(3x + 1) Reorder the terms: 8(-5 + 2x) = 7(3x + 1) (-5 * 8 + 2x * 8) = 7(3x + 1) (-40 + 16x) = 7(3x + 1) Reorder the terms: -40 + 16x = 7(1 + 3x) -40 + 16x = (1 * 7 + 3x * 7) -40 + 16x = (7 + 21x) Solving -40 + 16x = 7 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -40 + 16x + -21x = 7 + 21x + -21x Combine like terms: 16x + -21x = -5x -40 + -5x = 7 + 21x + -21x Combine like terms: 21x + -21x = 0 -40 + -5x = 7 + 0 -40 + -5x = 7 Add '40' to each side of the equation. -40 + 40 + -5x = 7 + 40 Combine like terms: -40 + 40 = 0 0 + -5x = 7 + 40 -5x = 7 + 40 Combine like terms: 7 + 40 = 47 -5x = 47 Divide each side by '-5'. x = -9.4 Simplifying x = -9.4
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