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Simplifying -102 = -3x + -4(6x + -15) Reorder the terms: -102 = -3x + -4(-15 + 6x) -102 = -3x + (-15 * -4 + 6x * -4) -102 = -3x + (60 + -24x) Reorder the terms: -102 = 60 + -3x + -24x Combine like terms: -3x + -24x = -27x -102 = 60 + -27x Solving -102 = 60 + -27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27x' to each side of the equation. -102 + 27x = 60 + -27x + 27x Combine like terms: -27x + 27x = 0 -102 + 27x = 60 + 0 -102 + 27x = 60 Add '102' to each side of the equation. -102 + 102 + 27x = 60 + 102 Combine like terms: -102 + 102 = 0 0 + 27x = 60 + 102 27x = 60 + 102 Combine like terms: 60 + 102 = 162 27x = 162 Divide each side by '27'. x = 6 Simplifying x = 6
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