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Simplifying 4(4x + x) + 7 + -5x = 8 + (-5)(5x + -6x) + 23 Combine like terms: 4x + x = 5x 4(5x) + 7 + -5x = 8 + (-5)(5x + -6x) + 23 Remove parenthesis around (5x) 4 * 5x + 7 + -5x = 8 + (-5)(5x + -6x) + 23 Multiply 4 * 5 20x + 7 + -5x = 8 + (-5)(5x + -6x) + 23 Reorder the terms: 7 + 20x + -5x = 8 + (-5)(5x + -6x) + 23 Combine like terms: 20x + -5x = 15x 7 + 15x = 8 + (-5)(5x + -6x) + 23 Combine like terms: 5x + -6x = -1x 7 + 15x = 8 + -5(-1x) + 23 Remove parenthesis around (-1x) 7 + 15x = 8 + -5 * -1x + 23 Multiply -5 * -1 7 + 15x = 8 + 5x + 23 Reorder the terms: 7 + 15x = 8 + 23 + 5x Combine like terms: 8 + 23 = 31 7 + 15x = 31 + 5x Solving 7 + 15x = 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. 7 + 15x + -5x = 31 + 5x + -5x Combine like terms: 15x + -5x = 10x 7 + 10x = 31 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + 10x = 31 + 0 7 + 10x = 31 Add '-7' to each side of the equation. 7 + -7 + 10x = 31 + -7 Combine like terms: 7 + -7 = 0 0 + 10x = 31 + -7 10x = 31 + -7 Combine like terms: 31 + -7 = 24 10x = 24 Divide each side by '10'. x = 2.4 Simplifying x = 2.4
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