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Simplifying 7(x + -5) + 23 = 6x + -5 Reorder the terms: 7(-5 + x) + 23 = 6x + -5 (-5 * 7 + x * 7) + 23 = 6x + -5 (-35 + 7x) + 23 = 6x + -5 Reorder the terms: -35 + 23 + 7x = 6x + -5 Combine like terms: -35 + 23 = -12 -12 + 7x = 6x + -5 Reorder the terms: -12 + 7x = -5 + 6x Solving -12 + 7x = -5 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -12 + 7x + -6x = -5 + 6x + -6x Combine like terms: 7x + -6x = 1x -12 + 1x = -5 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + 1x = -5 + 0 -12 + 1x = -5 Add '12' to each side of the equation. -12 + 12 + 1x = -5 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = -5 + 12 1x = -5 + 12 Combine like terms: -5 + 12 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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