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Simplifying -6(x + -7) = -3x + 15 Reorder the terms: -6(-7 + x) = -3x + 15 (-7 * -6 + x * -6) = -3x + 15 (42 + -6x) = -3x + 15 Reorder the terms: 42 + -6x = 15 + -3x Solving 42 + -6x = 15 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 42 + -6x + 3x = 15 + -3x + 3x Combine like terms: -6x + 3x = -3x 42 + -3x = 15 + -3x + 3x Combine like terms: -3x + 3x = 0 42 + -3x = 15 + 0 42 + -3x = 15 Add '-42' to each side of the equation. 42 + -42 + -3x = 15 + -42 Combine like terms: 42 + -42 = 0 0 + -3x = 15 + -42 -3x = 15 + -42 Combine like terms: 15 + -42 = -27 -3x = -27 Divide each side by '-3'. x = 9 Simplifying x = 9
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