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Simplifying 4x + 6(-3x + -4) = 8(3 + -1x) Reorder the terms: 4x + 6(-4 + -3x) = 8(3 + -1x) 4x + (-4 * 6 + -3x * 6) = 8(3 + -1x) 4x + (-24 + -18x) = 8(3 + -1x) Reorder the terms: -24 + 4x + -18x = 8(3 + -1x) Combine like terms: 4x + -18x = -14x -24 + -14x = 8(3 + -1x) -24 + -14x = (3 * 8 + -1x * 8) -24 + -14x = (24 + -8x) Solving -24 + -14x = 24 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -24 + -14x + 8x = 24 + -8x + 8x Combine like terms: -14x + 8x = -6x -24 + -6x = 24 + -8x + 8x Combine like terms: -8x + 8x = 0 -24 + -6x = 24 + 0 -24 + -6x = 24 Add '24' to each side of the equation. -24 + 24 + -6x = 24 + 24 Combine like terms: -24 + 24 = 0 0 + -6x = 24 + 24 -6x = 24 + 24 Combine like terms: 24 + 24 = 48 -6x = 48 Divide each side by '-6'. x = -8 Simplifying x = -8
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