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Simplifying 5x + -2(x + -4) = 9x + 23 Reorder the terms: 5x + -2(-4 + x) = 9x + 23 5x + (-4 * -2 + x * -2) = 9x + 23 5x + (8 + -2x) = 9x + 23 Reorder the terms: 8 + 5x + -2x = 9x + 23 Combine like terms: 5x + -2x = 3x 8 + 3x = 9x + 23 Reorder the terms: 8 + 3x = 23 + 9x Solving 8 + 3x = 23 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 8 + 3x + -9x = 23 + 9x + -9x Combine like terms: 3x + -9x = -6x 8 + -6x = 23 + 9x + -9x Combine like terms: 9x + -9x = 0 8 + -6x = 23 + 0 8 + -6x = 23 Add '-8' to each side of the equation. 8 + -8 + -6x = 23 + -8 Combine like terms: 8 + -8 = 0 0 + -6x = 23 + -8 -6x = 23 + -8 Combine like terms: 23 + -8 = 15 -6x = 15 Divide each side by '-6'. x = -2.5 Simplifying x = -2.5
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