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Simplifying 23(x + 5) = 4(6x + -5) Reorder the terms: 23(5 + x) = 4(6x + -5) (5 * 23 + x * 23) = 4(6x + -5) (115 + 23x) = 4(6x + -5) Reorder the terms: 115 + 23x = 4(-5 + 6x) 115 + 23x = (-5 * 4 + 6x * 4) 115 + 23x = (-20 + 24x) Solving 115 + 23x = -20 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 115 + 23x + -24x = -20 + 24x + -24x Combine like terms: 23x + -24x = -1x 115 + -1x = -20 + 24x + -24x Combine like terms: 24x + -24x = 0 115 + -1x = -20 + 0 115 + -1x = -20 Add '-115' to each side of the equation. 115 + -115 + -1x = -20 + -115 Combine like terms: 115 + -115 = 0 0 + -1x = -20 + -115 -1x = -20 + -115 Combine like terms: -20 + -115 = -135 -1x = -135 Divide each side by '-1'. x = 135 Simplifying x = 135
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