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Simplifying 5(x + -4) + -4 = 23x + -114 Reorder the terms: 5(-4 + x) + -4 = 23x + -114 (-4 * 5 + x * 5) + -4 = 23x + -114 (-20 + 5x) + -4 = 23x + -114 Reorder the terms: -20 + -4 + 5x = 23x + -114 Combine like terms: -20 + -4 = -24 -24 + 5x = 23x + -114 Reorder the terms: -24 + 5x = -114 + 23x Solving -24 + 5x = -114 + 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. -24 + 5x + -23x = -114 + 23x + -23x Combine like terms: 5x + -23x = -18x -24 + -18x = -114 + 23x + -23x Combine like terms: 23x + -23x = 0 -24 + -18x = -114 + 0 -24 + -18x = -114 Add '24' to each side of the equation. -24 + 24 + -18x = -114 + 24 Combine like terms: -24 + 24 = 0 0 + -18x = -114 + 24 -18x = -114 + 24 Combine like terms: -114 + 24 = -90 -18x = -90 Divide each side by '-18'. x = 5 Simplifying x = 5
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