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Simplifying 4x + 40 = 12x + -102 Reorder the terms: 40 + 4x = 12x + -102 Reorder the terms: 40 + 4x = -102 + 12x Solving 40 + 4x = -102 + 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. 40 + 4x + -12x = -102 + 12x + -12x Combine like terms: 4x + -12x = -8x 40 + -8x = -102 + 12x + -12x Combine like terms: 12x + -12x = 0 40 + -8x = -102 + 0 40 + -8x = -102 Add '-40' to each side of the equation. 40 + -40 + -8x = -102 + -40 Combine like terms: 40 + -40 = 0 0 + -8x = -102 + -40 -8x = -102 + -40 Combine like terms: -102 + -40 = -142 -8x = -142 Divide each side by '-8'. x = 17.75 Simplifying x = 17.75
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