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Simplifying -14x + 3(x + -4) + 8x = 6x + -84 Reorder the terms: -14x + 3(-4 + x) + 8x = 6x + -84 -14x + (-4 * 3 + x * 3) + 8x = 6x + -84 -14x + (-12 + 3x) + 8x = 6x + -84 Reorder the terms: -12 + -14x + 3x + 8x = 6x + -84 Combine like terms: -14x + 3x = -11x -12 + -11x + 8x = 6x + -84 Combine like terms: -11x + 8x = -3x -12 + -3x = 6x + -84 Reorder the terms: -12 + -3x = -84 + 6x Solving -12 + -3x = -84 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -12 + -3x + -6x = -84 + 6x + -6x Combine like terms: -3x + -6x = -9x -12 + -9x = -84 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + -9x = -84 + 0 -12 + -9x = -84 Add '12' to each side of the equation. -12 + 12 + -9x = -84 + 12 Combine like terms: -12 + 12 = 0 0 + -9x = -84 + 12 -9x = -84 + 12 Combine like terms: -84 + 12 = -72 -9x = -72 Divide each side by '-9'. x = 8 Simplifying x = 8
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