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Simplifying 3x + -8 + 2x = 6(x + -2) Reorder the terms: -8 + 3x + 2x = 6(x + -2) Combine like terms: 3x + 2x = 5x -8 + 5x = 6(x + -2) Reorder the terms: -8 + 5x = 6(-2 + x) -8 + 5x = (-2 * 6 + x * 6) -8 + 5x = (-12 + 6x) Solving -8 + 5x = -12 + 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. -8 + 5x + -6x = -12 + 6x + -6x Combine like terms: 5x + -6x = -1x -8 + -1x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + -1x = -12 + 0 -8 + -1x = -12 Add '8' to each side of the equation. -8 + 8 + -1x = -12 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = -12 + 8 -1x = -12 + 8 Combine like terms: -12 + 8 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4
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