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Simplifying 8(6x + -5) + 14 = 2(4x + 5) Reorder the terms: 8(-5 + 6x) + 14 = 2(4x + 5) (-5 * 8 + 6x * 8) + 14 = 2(4x + 5) (-40 + 48x) + 14 = 2(4x + 5) Reorder the terms: -40 + 14 + 48x = 2(4x + 5) Combine like terms: -40 + 14 = -26 -26 + 48x = 2(4x + 5) Reorder the terms: -26 + 48x = 2(5 + 4x) -26 + 48x = (5 * 2 + 4x * 2) -26 + 48x = (10 + 8x) Solving -26 + 48x = 10 + 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. -26 + 48x + -8x = 10 + 8x + -8x Combine like terms: 48x + -8x = 40x -26 + 40x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 -26 + 40x = 10 + 0 -26 + 40x = 10 Add '26' to each side of the equation. -26 + 26 + 40x = 10 + 26 Combine like terms: -26 + 26 = 0 0 + 40x = 10 + 26 40x = 10 + 26 Combine like terms: 10 + 26 = 36 40x = 36 Divide each side by '40'. x = 0.9 Simplifying x = 0.9
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