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Simplifying 23 + 6x = 3(-1x + 3) + -58 Reorder the terms: 23 + 6x = 3(3 + -1x) + -58 23 + 6x = (3 * 3 + -1x * 3) + -58 23 + 6x = (9 + -3x) + -58 Reorder the terms: 23 + 6x = 9 + -58 + -3x Combine like terms: 9 + -58 = -49 23 + 6x = -49 + -3x Solving 23 + 6x = -49 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 23 + 6x + 3x = -49 + -3x + 3x Combine like terms: 6x + 3x = 9x 23 + 9x = -49 + -3x + 3x Combine like terms: -3x + 3x = 0 23 + 9x = -49 + 0 23 + 9x = -49 Add '-23' to each side of the equation. 23 + -23 + 9x = -49 + -23 Combine like terms: 23 + -23 = 0 0 + 9x = -49 + -23 9x = -49 + -23 Combine like terms: -49 + -23 = -72 9x = -72 Divide each side by '9'. x = -8 Simplifying x = -8
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