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Simplifying 4x + 6(-2x + -4) = -23 + -9x Reorder the terms: 4x + 6(-4 + -2x) = -23 + -9x 4x + (-4 * 6 + -2x * 6) = -23 + -9x 4x + (-24 + -12x) = -23 + -9x Reorder the terms: -24 + 4x + -12x = -23 + -9x Combine like terms: 4x + -12x = -8x -24 + -8x = -23 + -9x Solving -24 + -8x = -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. -24 + -8x + 9x = -23 + -9x + 9x Combine like terms: -8x + 9x = 1x -24 + 1x = -23 + -9x + 9x Combine like terms: -9x + 9x = 0 -24 + 1x = -23 + 0 -24 + 1x = -23 Add '24' to each side of the equation. -24 + 24 + 1x = -23 + 24 Combine like terms: -24 + 24 = 0 0 + 1x = -23 + 24 1x = -23 + 24 Combine like terms: -23 + 24 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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