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Simplifying -5(x + -3) = 15(x + -7) + 2 Reorder the terms: -5(-3 + x) = 15(x + -7) + 2 (-3 * -5 + x * -5) = 15(x + -7) + 2 (15 + -5x) = 15(x + -7) + 2 Reorder the terms: 15 + -5x = 15(-7 + x) + 2 15 + -5x = (-7 * 15 + x * 15) + 2 15 + -5x = (-105 + 15x) + 2 Reorder the terms: 15 + -5x = -105 + 2 + 15x Combine like terms: -105 + 2 = -103 15 + -5x = -103 + 15x Solving 15 + -5x = -103 + 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. 15 + -5x + -15x = -103 + 15x + -15x Combine like terms: -5x + -15x = -20x 15 + -20x = -103 + 15x + -15x Combine like terms: 15x + -15x = 0 15 + -20x = -103 + 0 15 + -20x = -103 Add '-15' to each side of the equation. 15 + -15 + -20x = -103 + -15 Combine like terms: 15 + -15 = 0 0 + -20x = -103 + -15 -20x = -103 + -15 Combine like terms: -103 + -15 = -118 -20x = -118 Divide each side by '-20'. x = 5.9 Simplifying x = 5.9
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