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Simplifying 6x + -8x + 24 = -8x + 6(3x + -4) Reorder the terms: 24 + 6x + -8x = -8x + 6(3x + -4) Combine like terms: 6x + -8x = -2x 24 + -2x = -8x + 6(3x + -4) Reorder the terms: 24 + -2x = -8x + 6(-4 + 3x) 24 + -2x = -8x + (-4 * 6 + 3x * 6) 24 + -2x = -8x + (-24 + 18x) Reorder the terms: 24 + -2x = -24 + -8x + 18x Combine like terms: -8x + 18x = 10x 24 + -2x = -24 + 10x Solving 24 + -2x = -24 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 24 + -2x + -10x = -24 + 10x + -10x Combine like terms: -2x + -10x = -12x 24 + -12x = -24 + 10x + -10x Combine like terms: 10x + -10x = 0 24 + -12x = -24 + 0 24 + -12x = -24 Add '-24' to each side of the equation. 24 + -24 + -12x = -24 + -24 Combine like terms: 24 + -24 = 0 0 + -12x = -24 + -24 -12x = -24 + -24 Combine like terms: -24 + -24 = -48 -12x = -48 Divide each side by '-12'. x = 4 Simplifying x = 4
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