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Simplifying 4(3x + x) + 7 + -5x = (-5)(5x + -6x) + 23 Combine like terms: 3x + x = 4x 4(4x) + 7 + -5x = (-5)(5x + -6x) + 23 Remove parenthesis around (4x) 4 * 4x + 7 + -5x = (-5)(5x + -6x) + 23 Multiply 4 * 4 16x + 7 + -5x = (-5)(5x + -6x) + 23 Reorder the terms: 7 + 16x + -5x = (-5)(5x + -6x) + 23 Combine like terms: 16x + -5x = 11x 7 + 11x = (-5)(5x + -6x) + 23 Combine like terms: 5x + -6x = -1x 7 + 11x = -5(-1x) + 23 Remove parenthesis around (-1x) 7 + 11x = -5 * -1x + 23 Multiply -5 * -1 7 + 11x = 5x + 23 Reorder the terms: 7 + 11x = 23 + 5x Solving 7 + 11x = 23 + 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 + 11x + -5x = 23 + 5x + -5x Combine like terms: 11x + -5x = 6x 7 + 6x = 23 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + 6x = 23 + 0 7 + 6x = 23 Add '-7' to each side of the equation. 7 + -7 + 6x = 23 + -7 Combine like terms: 7 + -7 = 0 0 + 6x = 23 + -7 6x = 23 + -7 Combine like terms: 23 + -7 = 16 6x = 16 Divide each side by '6'. x = 2.666666667 Simplifying x = 2.666666667
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