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Simplifying 5(x + -5) + -12 = 23x + -127 Reorder the terms: 5(-5 + x) + -12 = 23x + -127 (-5 * 5 + x * 5) + -12 = 23x + -127 (-25 + 5x) + -12 = 23x + -127 Reorder the terms: -25 + -12 + 5x = 23x + -127 Combine like terms: -25 + -12 = -37 -37 + 5x = 23x + -127 Reorder the terms: -37 + 5x = -127 + 23x Solving -37 + 5x = -127 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. -37 + 5x + -23x = -127 + 23x + -23x Combine like terms: 5x + -23x = -18x -37 + -18x = -127 + 23x + -23x Combine like terms: 23x + -23x = 0 -37 + -18x = -127 + 0 -37 + -18x = -127 Add '37' to each side of the equation. -37 + 37 + -18x = -127 + 37 Combine like terms: -37 + 37 = 0 0 + -18x = -127 + 37 -18x = -127 + 37 Combine like terms: -127 + 37 = -90 -18x = -90 Divide each side by '-18'. x = 5 Simplifying x = 5
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