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Simplifying 4(3x + x) * 7 + -5x = 8 + (-5)(5x + -6x) + 23 Combine like terms: 3x + x = 4x 4(4x) * 7 + -5x = 8 + (-5)(5x + -6x) + 23 Remove parenthesis around (4x) 4 * 4x * 7 + -5x = 8 + (-5)(5x + -6x) + 23 Reorder the terms for easier multiplication: 4 * 4 * 7x + -5x = 8 + (-5)(5x + -6x) + 23 Multiply 4 * 4 16 * 7x + -5x = 8 + (-5)(5x + -6x) + 23 Multiply 16 * 7 112x + -5x = 8 + (-5)(5x + -6x) + 23 Combine like terms: 112x + -5x = 107x 107x = 8 + (-5)(5x + -6x) + 23 Combine like terms: 5x + -6x = -1x 107x = 8 + -5(-1x) + 23 Remove parenthesis around (-1x) 107x = 8 + -5 * -1x + 23 Multiply -5 * -1 107x = 8 + 5x + 23 Reorder the terms: 107x = 8 + 23 + 5x Combine like terms: 8 + 23 = 31 107x = 31 + 5x Solving 107x = 31 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 107x + -5x = 31 + 5x + -5x Combine like terms: 107x + -5x = 102x 102x = 31 + 5x + -5x Combine like terms: 5x + -5x = 0 102x = 31 + 0 102x = 31 Divide each side by '102'. x = 0.3039215686 Simplifying x = 0.3039215686
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