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Simplifying 6x + 3[x + -4] = 8[x + -3] Reorder the terms: 6x + 3[-4 + x] = 8[x + -3] 6x + [-4 * 3 + x * 3] = 8[x + -3] 6x + [-12 + 3x] = 8[x + -3] Reorder the terms: -12 + 6x + 3x = 8[x + -3] Combine like terms: 6x + 3x = 9x -12 + 9x = 8[x + -3] Reorder the terms: -12 + 9x = 8[-3 + x] -12 + 9x = [-3 * 8 + x * 8] -12 + 9x = [-24 + 8x] Solving -12 + 9x = -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. -12 + 9x + -8x = -24 + 8x + -8x Combine like terms: 9x + -8x = 1x -12 + 1x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 + 1x = -24 + 0 -12 + 1x = -24 Add '12' to each side of the equation. -12 + 12 + 1x = -24 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = -24 + 12 1x = -24 + 12 Combine like terms: -24 + 12 = -12 1x = -12 Divide each side by '1'. x = -12 Simplifying x = -12
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