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Simplifying -15 = 6(7 + -2x) + 3(x + -7) -15 = (7 * 6 + -2x * 6) + 3(x + -7) -15 = (42 + -12x) + 3(x + -7) Reorder the terms: -15 = 42 + -12x + 3(-7 + x) -15 = 42 + -12x + (-7 * 3 + x * 3) -15 = 42 + -12x + (-21 + 3x) Reorder the terms: -15 = 42 + -21 + -12x + 3x Combine like terms: 42 + -21 = 21 -15 = 21 + -12x + 3x Combine like terms: -12x + 3x = -9x -15 = 21 + -9x Solving -15 = 21 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -15 + 9x = 21 + -9x + 9x Combine like terms: -9x + 9x = 0 -15 + 9x = 21 + 0 -15 + 9x = 21 Add '15' to each side of the equation. -15 + 15 + 9x = 21 + 15 Combine like terms: -15 + 15 = 0 0 + 9x = 21 + 15 9x = 21 + 15 Combine like terms: 21 + 15 = 36 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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