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Simplifying 12 + 5x + -8x = -16 + x Combine like terms: 5x + -8x = -3x 12 + -3x = -16 + x Solving 12 + -3x = -16 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 12 + -3x + -1x = -16 + x + -1x Combine like terms: -3x + -1x = -4x 12 + -4x = -16 + x + -1x Combine like terms: x + -1x = 0 12 + -4x = -16 + 0 12 + -4x = -16 Add '-12' to each side of the equation. 12 + -12 + -4x = -16 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = -16 + -12 -4x = -16 + -12 Combine like terms: -16 + -12 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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