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Simplifying -102 = 6(3x + -7) + -3x Reorder the terms: -102 = 6(-7 + 3x) + -3x -102 = (-7 * 6 + 3x * 6) + -3x -102 = (-42 + 18x) + -3x Combine like terms: 18x + -3x = 15x -102 = -42 + 15x Solving -102 = -42 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -102 + -15x = -42 + 15x + -15x Combine like terms: 15x + -15x = 0 -102 + -15x = -42 + 0 -102 + -15x = -42 Add '102' to each side of the equation. -102 + 102 + -15x = -42 + 102 Combine like terms: -102 + 102 = 0 0 + -15x = -42 + 102 -15x = -42 + 102 Combine like terms: -42 + 102 = 60 -15x = 60 Divide each side by '-15'. x = -4 Simplifying x = -4
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