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Simplifying -2(-3 + 7x) + -3x = -7x + -24 (-3 * -2 + 7x * -2) + -3x = -7x + -24 (6 + -14x) + -3x = -7x + -24 Combine like terms: -14x + -3x = -17x 6 + -17x = -7x + -24 Reorder the terms: 6 + -17x = -24 + -7x Solving 6 + -17x = -24 + -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. 6 + -17x + 7x = -24 + -7x + 7x Combine like terms: -17x + 7x = -10x 6 + -10x = -24 + -7x + 7x Combine like terms: -7x + 7x = 0 6 + -10x = -24 + 0 6 + -10x = -24 Add '-6' to each side of the equation. 6 + -6 + -10x = -24 + -6 Combine like terms: 6 + -6 = 0 0 + -10x = -24 + -6 -10x = -24 + -6 Combine like terms: -24 + -6 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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