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Simplifying 5 + -4(3x + -8) + 7x = 8 + -1(x + -13) Reorder the terms: 5 + -4(-8 + 3x) + 7x = 8 + -1(x + -13) 5 + (-8 * -4 + 3x * -4) + 7x = 8 + -1(x + -13) 5 + (32 + -12x) + 7x = 8 + -1(x + -13) Combine like terms: 5 + 32 = 37 37 + -12x + 7x = 8 + -1(x + -13) Combine like terms: -12x + 7x = -5x 37 + -5x = 8 + -1(x + -13) Reorder the terms: 37 + -5x = 8 + -1(-13 + x) 37 + -5x = 8 + (-13 * -1 + x * -1) 37 + -5x = 8 + (13 + -1x) Combine like terms: 8 + 13 = 21 37 + -5x = 21 + -1x Solving 37 + -5x = 21 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 37 + -5x + x = 21 + -1x + x Combine like terms: -5x + x = -4x 37 + -4x = 21 + -1x + x Combine like terms: -1x + x = 0 37 + -4x = 21 + 0 37 + -4x = 21 Add '-37' to each side of the equation. 37 + -37 + -4x = 21 + -37 Combine like terms: 37 + -37 = 0 0 + -4x = 21 + -37 -4x = 21 + -37 Combine like terms: 21 + -37 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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