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Simplifying -103 = -3 + -5(3x + 2) Reorder the terms: -103 = -3 + -5(2 + 3x) -103 = -3 + (2 * -5 + 3x * -5) -103 = -3 + (-10 + -15x) Combine like terms: -3 + -10 = -13 -103 = -13 + -15x Solving -103 = -13 + -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. -103 + 15x = -13 + -15x + 15x Combine like terms: -15x + 15x = 0 -103 + 15x = -13 + 0 -103 + 15x = -13 Add '103' to each side of the equation. -103 + 103 + 15x = -13 + 103 Combine like terms: -103 + 103 = 0 0 + 15x = -13 + 103 15x = -13 + 103 Combine like terms: -13 + 103 = 90 15x = 90 Divide each side by '15'. x = 6 Simplifying x = 6
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