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Simplifying 6[2 + -1(3 + 2x)] + -4x = -8 + (1 + -8x) 6[2 + (3 * -1 + 2x * -1)] + -4x = -8 + (1 + -8x) 6[2 + (-3 + -2x)] + -4x = -8 + (1 + -8x) Combine like terms: 2 + -3 = -1 6[-1 + -2x] + -4x = -8 + (1 + -8x) [-1 * 6 + -2x * 6] + -4x = -8 + (1 + -8x) [-6 + -12x] + -4x = -8 + (1 + -8x) Combine like terms: -12x + -4x = -16x -6 + -16x = -8 + (1 + -8x) Remove parenthesis around (1 + -8x) -6 + -16x = -8 + 1 + -8x Combine like terms: -8 + 1 = -7 -6 + -16x = -7 + -8x Solving -6 + -16x = -7 + -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. -6 + -16x + 8x = -7 + -8x + 8x Combine like terms: -16x + 8x = -8x -6 + -8x = -7 + -8x + 8x Combine like terms: -8x + 8x = 0 -6 + -8x = -7 + 0 -6 + -8x = -7 Add '6' to each side of the equation. -6 + 6 + -8x = -7 + 6 Combine like terms: -6 + 6 = 0 0 + -8x = -7 + 6 -8x = -7 + 6 Combine like terms: -7 + 6 = -1 -8x = -1 Divide each side by '-8'. x = 0.125 Simplifying x = 0.125
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