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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 = -1x 7 + 11x = 8 + -5(-1x) + 23 Remove parenthesis around (-1x) 7 + 11x = 8 + -5 * -1x + 23 Multiply -5 * -1 7 + 11x = 8 + 5x + 23 Reorder the terms: 7 + 11x = 8 + 23 + 5x Combine like terms: 8 + 23 = 31 7 + 11x = 31 + 5x Solving 7 + 11x = 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 + 11x + -5x = 31 + 5x + -5x Combine like terms: 11x + -5x = 6x 7 + 6x = 31 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + 6x = 31 + 0 7 + 6x = 31 Add '-7' to each side of the equation. 7 + -7 + 6x = 31 + -7 Combine like terms: 7 + -7 = 0 0 + 6x = 31 + -7 6x = 31 + -7 Combine like terms: 31 + -7 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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