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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) Reorder the terms: 7 + 11x = 8 + -5(23 + 5x + -6x) Combine like terms: 5x + -6x = -1x 7 + 11x = 8 + -5(23 + -1x) 7 + 11x = 8 + (23 * -5 + -1x * -5) 7 + 11x = 8 + (-115 + 5x) Combine like terms: 8 + -115 = -107 7 + 11x = -107 + 5x Solving 7 + 11x = -107 + 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 = -107 + 5x + -5x Combine like terms: 11x + -5x = 6x 7 + 6x = -107 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + 6x = -107 + 0 7 + 6x = -107 Add '-7' to each side of the equation. 7 + -7 + 6x = -107 + -7 Combine like terms: 7 + -7 = 0 0 + 6x = -107 + -7 6x = -107 + -7 Combine like terms: -107 + -7 = -114 6x = -114 Divide each side by '6'. x = -19 Simplifying x = -19
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