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Simplifying 7 + -6x = -15 + -2(7x + 9) Reorder the terms: 7 + -6x = -15 + -2(9 + 7x) 7 + -6x = -15 + (9 * -2 + 7x * -2) 7 + -6x = -15 + (-18 + -14x) Combine like terms: -15 + -18 = -33 7 + -6x = -33 + -14x Solving 7 + -6x = -33 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 7 + -6x + 14x = -33 + -14x + 14x Combine like terms: -6x + 14x = 8x 7 + 8x = -33 + -14x + 14x Combine like terms: -14x + 14x = 0 7 + 8x = -33 + 0 7 + 8x = -33 Add '-7' to each side of the equation. 7 + -7 + 8x = -33 + -7 Combine like terms: 7 + -7 = 0 0 + 8x = -33 + -7 8x = -33 + -7 Combine like terms: -33 + -7 = -40 8x = -40 Divide each side by '8'. x = -5 Simplifying x = -5
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