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Simplifying 8(2x2 + -5) + (7 + 4x)(7 + -4x) = 6x + -15 Reorder the terms: 8(-5 + 2x2) + (7 + 4x)(7 + -4x) = 6x + -15 (-5 * 8 + 2x2 * 8) + (7 + 4x)(7 + -4x) = 6x + -15 (-40 + 16x2) + (7 + 4x)(7 + -4x) = 6x + -15 Multiply (7 + 4x) * (7 + -4x) -40 + 16x2 + (7(7 + -4x) + 4x * (7 + -4x)) = 6x + -15 -40 + 16x2 + ((7 * 7 + -4x * 7) + 4x * (7 + -4x)) = 6x + -15 -40 + 16x2 + ((49 + -28x) + 4x * (7 + -4x)) = 6x + -15 -40 + 16x2 + (49 + -28x + (7 * 4x + -4x * 4x)) = 6x + -15 -40 + 16x2 + (49 + -28x + (28x + -16x2)) = 6x + -15 Combine like terms: -28x + 28x = 0 -40 + 16x2 + (49 + 0 + -16x2) = 6x + -15 -40 + 16x2 + (49 + -16x2) = 6x + -15 Reorder the terms: -40 + 49 + 16x2 + -16x2 = 6x + -15 Combine like terms: -40 + 49 = 9 9 + 16x2 + -16x2 = 6x + -15 Combine like terms: 16x2 + -16x2 = 0 9 + 0 = 6x + -15 9 = 6x + -15 Reorder the terms: 9 = -15 + 6x Solving 9 = -15 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 9 + -6x = -15 + 6x + -6x Combine like terms: 6x + -6x = 0 9 + -6x = -15 + 0 9 + -6x = -15 Add '-9' to each side of the equation. 9 + -9 + -6x = -15 + -9 Combine like terms: 9 + -9 = 0 0 + -6x = -15 + -9 -6x = -15 + -9 Combine like terms: -15 + -9 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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