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Simplifying 5 + -4(x + -8) = 5x + -1(2x + 3) Reorder the terms: 5 + -4(-8 + x) = 5x + -1(2x + 3) 5 + (-8 * -4 + x * -4) = 5x + -1(2x + 3) 5 + (32 + -4x) = 5x + -1(2x + 3) Combine like terms: 5 + 32 = 37 37 + -4x = 5x + -1(2x + 3) Reorder the terms: 37 + -4x = 5x + -1(3 + 2x) 37 + -4x = 5x + (3 * -1 + 2x * -1) 37 + -4x = 5x + (-3 + -2x) Reorder the terms: 37 + -4x = -3 + 5x + -2x Combine like terms: 5x + -2x = 3x 37 + -4x = -3 + 3x Solving 37 + -4x = -3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 37 + -4x + -3x = -3 + 3x + -3x Combine like terms: -4x + -3x = -7x 37 + -7x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 37 + -7x = -3 + 0 37 + -7x = -3 Add '-37' to each side of the equation. 37 + -37 + -7x = -3 + -37 Combine like terms: 37 + -37 = 0 0 + -7x = -3 + -37 -7x = -3 + -37 Combine like terms: -3 + -37 = -40 -7x = -40 Divide each side by '-7'. x = 5.714285714 Simplifying x = 5.714285714
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