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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 Multiply 4 * 4 16x + 7 + -5x = 8 + (-5)(5x + 6x) + 23 Reorder the terms: 7 + 16x + -5x = 8 + (-5)(5x + 6x) + 23 Combine like terms: 16x + -5x = 11x 7 + 11x = 8 + (-5)(5x + 6x) + 23 Combine like terms: 5x + 6x = 11x 7 + 11x = 8 + -5(11x) + 23 Remove parenthesis around (11x) 7 + 11x = 8 + -5 * 11x + 23 Multiply -5 * 11 7 + 11x = 8 + -55x + 23 Reorder the terms: 7 + 11x = 8 + 23 + -55x Combine like terms: 8 + 23 = 31 7 + 11x = 31 + -55x Solving 7 + 11x = 31 + -55x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '55x' to each side of the equation. 7 + 11x + 55x = 31 + -55x + 55x Combine like terms: 11x + 55x = 66x 7 + 66x = 31 + -55x + 55x Combine like terms: -55x + 55x = 0 7 + 66x = 31 + 0 7 + 66x = 31 Add '-7' to each side of the equation. 7 + -7 + 66x = 31 + -7 Combine like terms: 7 + -7 = 0 0 + 66x = 31 + -7 66x = 31 + -7 Combine like terms: 31 + -7 = 24 66x = 24 Divide each side by '66'. x = 0.3636363636 Simplifying x = 0.3636363636
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