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Simplifying 3x + -6 + 5x = 3(4x + -4) + 4 Reorder the terms: -6 + 3x + 5x = 3(4x + -4) + 4 Combine like terms: 3x + 5x = 8x -6 + 8x = 3(4x + -4) + 4 Reorder the terms: -6 + 8x = 3(-4 + 4x) + 4 -6 + 8x = (-4 * 3 + 4x * 3) + 4 -6 + 8x = (-12 + 12x) + 4 Reorder the terms: -6 + 8x = -12 + 4 + 12x Combine like terms: -12 + 4 = -8 -6 + 8x = -8 + 12x Solving -6 + 8x = -8 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -6 + 8x + -12x = -8 + 12x + -12x Combine like terms: 8x + -12x = -4x -6 + -4x = -8 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + -4x = -8 + 0 -6 + -4x = -8 Add '6' to each side of the equation. -6 + 6 + -4x = -8 + 6 Combine like terms: -6 + 6 = 0 0 + -4x = -8 + 6 -4x = -8 + 6 Combine like terms: -8 + 6 = -2 -4x = -2 Divide each side by '-4'. x = 0.5 Simplifying x = 0.5
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