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Simplifying -102 = 4x + -3(4x + 18) Reorder the terms: -102 = 4x + -3(18 + 4x) -102 = 4x + (18 * -3 + 4x * -3) -102 = 4x + (-54 + -12x) Reorder the terms: -102 = -54 + 4x + -12x Combine like terms: 4x + -12x = -8x -102 = -54 + -8x Solving -102 = -54 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -102 + 8x = -54 + -8x + 8x Combine like terms: -8x + 8x = 0 -102 + 8x = -54 + 0 -102 + 8x = -54 Add '102' to each side of the equation. -102 + 102 + 8x = -54 + 102 Combine like terms: -102 + 102 = 0 0 + 8x = -54 + 102 8x = -54 + 102 Combine like terms: -54 + 102 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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