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Simplifying 4(3 + x) + 7 + -5x = 8 + (-5)(5x + -6x) + 23 (3 * 4 + x * 4) + 7 + -5x = 8 + (-5)(5x + -6x) + 23 (12 + 4x) + 7 + -5x = 8 + (-5)(5x + -6x) + 23 Reorder the terms: 12 + 7 + 4x + -5x = 8 + (-5)(5x + -6x) + 23 Combine like terms: 12 + 7 = 19 19 + 4x + -5x = 8 + (-5)(5x + -6x) + 23 Combine like terms: 4x + -5x = -1x 19 + -1x = 8 + (-5)(5x + -6x) + 23 Combine like terms: 5x + -6x = -1x 19 + -1x = 8 + -5(-1x) + 23 Remove parenthesis around (-1x) 19 + -1x = 8 + -5 * -1x + 23 Multiply -5 * -1 19 + -1x = 8 + 5x + 23 Reorder the terms: 19 + -1x = 8 + 23 + 5x Combine like terms: 8 + 23 = 31 19 + -1x = 31 + 5x Solving 19 + -1x = 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. 19 + -1x + -5x = 31 + 5x + -5x Combine like terms: -1x + -5x = -6x 19 + -6x = 31 + 5x + -5x Combine like terms: 5x + -5x = 0 19 + -6x = 31 + 0 19 + -6x = 31 Add '-19' to each side of the equation. 19 + -19 + -6x = 31 + -19 Combine like terms: 19 + -19 = 0 0 + -6x = 31 + -19 -6x = 31 + -19 Combine like terms: 31 + -19 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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