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Simplifying -8x + -3(-8 + -6x) = 3(3x + -4) + 7x -8x + (-8 * -3 + -6x * -3) = 3(3x + -4) + 7x -8x + (24 + 18x) = 3(3x + -4) + 7x Reorder the terms: 24 + -8x + 18x = 3(3x + -4) + 7x Combine like terms: -8x + 18x = 10x 24 + 10x = 3(3x + -4) + 7x Reorder the terms: 24 + 10x = 3(-4 + 3x) + 7x 24 + 10x = (-4 * 3 + 3x * 3) + 7x 24 + 10x = (-12 + 9x) + 7x Combine like terms: 9x + 7x = 16x 24 + 10x = -12 + 16x Solving 24 + 10x = -12 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 24 + 10x + -16x = -12 + 16x + -16x Combine like terms: 10x + -16x = -6x 24 + -6x = -12 + 16x + -16x Combine like terms: 16x + -16x = 0 24 + -6x = -12 + 0 24 + -6x = -12 Add '-24' to each side of the equation. 24 + -24 + -6x = -12 + -24 Combine like terms: 24 + -24 = 0 0 + -6x = -12 + -24 -6x = -12 + -24 Combine like terms: -12 + -24 = -36 -6x = -36 Divide each side by '-6'. x = 6 Simplifying x = 6
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