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Simplifying 4x + -3(3x + -14) = 102 Reorder the terms: 4x + -3(-14 + 3x) = 102 4x + (-14 * -3 + 3x * -3) = 102 4x + (42 + -9x) = 102 Reorder the terms: 42 + 4x + -9x = 102 Combine like terms: 4x + -9x = -5x 42 + -5x = 102 Solving 42 + -5x = 102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -5x = 102 + -42 Combine like terms: 42 + -42 = 0 0 + -5x = 102 + -42 -5x = 102 + -42 Combine like terms: 102 + -42 = 60 -5x = 60 Divide each side by '-5'. x = -12 Simplifying x = -12
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