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Simplifying 6(x + -4) + 8 = 2x + 4(3x) Reorder the terms: 6(-4 + x) + 8 = 2x + 4(3x) (-4 * 6 + x * 6) + 8 = 2x + 4(3x) (-24 + 6x) + 8 = 2x + 4(3x) Reorder the terms: -24 + 8 + 6x = 2x + 4(3x) Combine like terms: -24 + 8 = -16 -16 + 6x = 2x + 4(3x) Remove parenthesis around (3x) -16 + 6x = 2x + 4 * 3x Multiply 4 * 3 -16 + 6x = 2x + 12x Combine like terms: 2x + 12x = 14x -16 + 6x = 14x Solving -16 + 6x = 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -16 + 6x + -14x = 14x + -14x Combine like terms: 6x + -14x = -8x -16 + -8x = 14x + -14x Combine like terms: 14x + -14x = 0 -16 + -8x = 0 Add '16' to each side of the equation. -16 + 16 + -8x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -8x = 0 + 16 -8x = 0 + 16 Combine like terms: 0 + 16 = 16 -8x = 16 Divide each side by '-8'. x = -2 Simplifying x = -2
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