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Simplifying 8 + 4(4x + -5) = 7 + -4(2x + 1) Reorder the terms: 8 + 4(-5 + 4x) = 7 + -4(2x + 1) 8 + (-5 * 4 + 4x * 4) = 7 + -4(2x + 1) 8 + (-20 + 16x) = 7 + -4(2x + 1) Combine like terms: 8 + -20 = -12 -12 + 16x = 7 + -4(2x + 1) Reorder the terms: -12 + 16x = 7 + -4(1 + 2x) -12 + 16x = 7 + (1 * -4 + 2x * -4) -12 + 16x = 7 + (-4 + -8x) Combine like terms: 7 + -4 = 3 -12 + 16x = 3 + -8x Solving -12 + 16x = 3 + -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. -12 + 16x + 8x = 3 + -8x + 8x Combine like terms: 16x + 8x = 24x -12 + 24x = 3 + -8x + 8x Combine like terms: -8x + 8x = 0 -12 + 24x = 3 + 0 -12 + 24x = 3 Add '12' to each side of the equation. -12 + 12 + 24x = 3 + 12 Combine like terms: -12 + 12 = 0 0 + 24x = 3 + 12 24x = 3 + 12 Combine like terms: 3 + 12 = 15 24x = 15 Divide each side by '24'. x = 0.625 Simplifying x = 0.625
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