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Simplifying 6(4x + -2) + -8x = 4(x + -10) + -8 Reorder the terms: 6(-2 + 4x) + -8x = 4(x + -10) + -8 (-2 * 6 + 4x * 6) + -8x = 4(x + -10) + -8 (-12 + 24x) + -8x = 4(x + -10) + -8 Combine like terms: 24x + -8x = 16x -12 + 16x = 4(x + -10) + -8 Reorder the terms: -12 + 16x = 4(-10 + x) + -8 -12 + 16x = (-10 * 4 + x * 4) + -8 -12 + 16x = (-40 + 4x) + -8 Reorder the terms: -12 + 16x = -40 + -8 + 4x Combine like terms: -40 + -8 = -48 -12 + 16x = -48 + 4x Solving -12 + 16x = -48 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -12 + 16x + -4x = -48 + 4x + -4x Combine like terms: 16x + -4x = 12x -12 + 12x = -48 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 12x = -48 + 0 -12 + 12x = -48 Add '12' to each side of the equation. -12 + 12 + 12x = -48 + 12 Combine like terms: -12 + 12 = 0 0 + 12x = -48 + 12 12x = -48 + 12 Combine like terms: -48 + 12 = -36 12x = -36 Divide each side by '12'. x = -3 Simplifying x = -3
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