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Simplifying 6[3 + -4(4 + 2x)] + -4x = -8 + 2(1 + -8x) 6[3 + (4 * -4 + 2x * -4)] + -4x = -8 + 2(1 + -8x) 6[3 + (-16 + -8x)] + -4x = -8 + 2(1 + -8x) Combine like terms: 3 + -16 = -13 6[-13 + -8x] + -4x = -8 + 2(1 + -8x) [-13 * 6 + -8x * 6] + -4x = -8 + 2(1 + -8x) [-78 + -48x] + -4x = -8 + 2(1 + -8x) Combine like terms: -48x + -4x = -52x -78 + -52x = -8 + 2(1 + -8x) -78 + -52x = -8 + (1 * 2 + -8x * 2) -78 + -52x = -8 + (2 + -16x) Combine like terms: -8 + 2 = -6 -78 + -52x = -6 + -16x Solving -78 + -52x = -6 + -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. -78 + -52x + 16x = -6 + -16x + 16x Combine like terms: -52x + 16x = -36x -78 + -36x = -6 + -16x + 16x Combine like terms: -16x + 16x = 0 -78 + -36x = -6 + 0 -78 + -36x = -6 Add '78' to each side of the equation. -78 + 78 + -36x = -6 + 78 Combine like terms: -78 + 78 = 0 0 + -36x = -6 + 78 -36x = -6 + 78 Combine like terms: -6 + 78 = 72 -36x = 72 Divide each side by '-36'. x = -2 Simplifying x = -2
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