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Simplifying -5(2x + -3) = -7x + -6 Reorder the terms: -5(-3 + 2x) = -7x + -6 (-3 * -5 + 2x * -5) = -7x + -6 (15 + -10x) = -7x + -6 Reorder the terms: 15 + -10x = -6 + -7x Solving 15 + -10x = -6 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 15 + -10x + 7x = -6 + -7x + 7x Combine like terms: -10x + 7x = -3x 15 + -3x = -6 + -7x + 7x Combine like terms: -7x + 7x = 0 15 + -3x = -6 + 0 15 + -3x = -6 Add '-15' to each side of the equation. 15 + -15 + -3x = -6 + -15 Combine like terms: 15 + -15 = 0 0 + -3x = -6 + -15 -3x = -6 + -15 Combine like terms: -6 + -15 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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