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Simplifying 8(6x + -5) = 2(21x + 1) Reorder the terms: 8(-5 + 6x) = 2(21x + 1) (-5 * 8 + 6x * 8) = 2(21x + 1) (-40 + 48x) = 2(21x + 1) Reorder the terms: -40 + 48x = 2(1 + 21x) -40 + 48x = (1 * 2 + 21x * 2) -40 + 48x = (2 + 42x) Solving -40 + 48x = 2 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. -40 + 48x + -42x = 2 + 42x + -42x Combine like terms: 48x + -42x = 6x -40 + 6x = 2 + 42x + -42x Combine like terms: 42x + -42x = 0 -40 + 6x = 2 + 0 -40 + 6x = 2 Add '40' to each side of the equation. -40 + 40 + 6x = 2 + 40 Combine like terms: -40 + 40 = 0 0 + 6x = 2 + 40 6x = 2 + 40 Combine like terms: 2 + 40 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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