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Simplifying 4(3x + x) + 7 + -5x = 8 + (-5x + -6x) + 23 Combine like terms: 3x + x = 4x 4(4x) + 7 + -5x = 8 + (-5x + -6x) + 23 Remove parenthesis around (4x) 4 * 4x + 7 + -5x = 8 + (-5x + -6x) + 23 Multiply 4 * 4 16x + 7 + -5x = 8 + (-5x + -6x) + 23 Reorder the terms: 7 + 16x + -5x = 8 + (-5x + -6x) + 23 Combine like terms: 16x + -5x = 11x 7 + 11x = 8 + (-5x + -6x) + 23 Combine like terms: -5x + -6x = -11x 7 + 11x = 8 + (-11x) + 23 7 + 11x = 8 + (-11x) + 23 Reorder the terms: 7 + 11x = 8 + 23 + (-11x) Combine like terms: 8 + 23 = 31 7 + 11x = 31 + (-11x) Solving 7 + 11x = 31 + (-11x) Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '(11x)' to each side of the equation. 7 + 11x + (11x) = 31 + (-11x) + (11x) Combine like terms: 11x + (11x) = 22x 7 + 22x = 31 + (-11x) + (11x) Combine like terms: (-11x) + (11x) = 0 7 + 22x = 31 + 0 7 + 22x = 31 Add '-7' to each side of the equation. 7 + -7 + 22x = 31 + -7 Combine like terms: 7 + -7 = 0 0 + 22x = 31 + -7 22x = 31 + -7 Combine like terms: 31 + -7 = 24 22x = 24 Divide each side by '22'. x = 1.090909091 Simplifying x = 1.090909091
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