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Simplifying 4(3x + x) + 7 + -5x = 8 + (5)(5x) + -1(6x) + 23 Combine like terms: 3x + x = 4x 4(4x) + 7 + -5x = 8 + (5)(5x) + -1(6x) + 23 Remove parenthesis around (4x) 4 * 4x + 7 + -5x = 8 + (5)(5x) + -1(6x) + 23 Multiply 4 * 4 16x + 7 + -5x = 8 + (5)(5x) + -1(6x) + 23 Reorder the terms: 7 + 16x + -5x = 8 + (5)(5x) + -1(6x) + 23 Combine like terms: 16x + -5x = 11x 7 + 11x = 8 + (5)(5x) + -1(6x) + 23 Remove parenthesis around (5x) 7 + 11x = 8 + 5 * 5x + -1(6x) + 23 Multiply 5 * 5 7 + 11x = 8 + 25x + -1(6x) + 23 Remove parenthesis around (6x) 7 + 11x = 8 + 25x + -1 * 6x + 23 Multiply -1 * 6 7 + 11x = 8 + 25x + -6x + 23 Reorder the terms: 7 + 11x = 8 + 23 + 25x + -6x Combine like terms: 8 + 23 = 31 7 + 11x = 31 + 25x + -6x Combine like terms: 25x + -6x = 19x 7 + 11x = 31 + 19x Solving 7 + 11x = 31 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 7 + 11x + -19x = 31 + 19x + -19x Combine like terms: 11x + -19x = -8x 7 + -8x = 31 + 19x + -19x Combine like terms: 19x + -19x = 0 7 + -8x = 31 + 0 7 + -8x = 31 Add '-7' to each side of the equation. 7 + -7 + -8x = 31 + -7 Combine like terms: 7 + -7 = 0 0 + -8x = 31 + -7 -8x = 31 + -7 Combine like terms: 31 + -7 = 24 -8x = 24 Divide each side by '-8'. x = -3 Simplifying x = -3
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