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Simplifying 0 = 2x + -3(x + 8) + -7(2x + 3) Reorder the terms: 0 = 2x + -3(8 + x) + -7(2x + 3) 0 = 2x + (8 * -3 + x * -3) + -7(2x + 3) 0 = 2x + (-24 + -3x) + -7(2x + 3) Reorder the terms: 0 = 2x + -24 + -3x + -7(3 + 2x) 0 = 2x + -24 + -3x + (3 * -7 + 2x * -7) 0 = 2x + -24 + -3x + (-21 + -14x) Reorder the terms: 0 = -24 + -21 + 2x + -3x + -14x Combine like terms: -24 + -21 = -45 0 = -45 + 2x + -3x + -14x Combine like terms: 2x + -3x = -1x 0 = -45 + -1x + -14x Combine like terms: -1x + -14x = -15x 0 = -45 + -15x Solving 0 = -45 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 0 + 15x = -45 + -15x + 15x Remove the zero: 15x = -45 + -15x + 15x Combine like terms: -15x + 15x = 0 15x = -45 + 0 15x = -45 Divide each side by '15'. x = -3 Simplifying x = -3
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