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Simplifying 7 = -3(23 + -1x) + 2(x + -2) 7 = (23 * -3 + -1x * -3) + 2(x + -2) 7 = (-69 + 3x) + 2(x + -2) Reorder the terms: 7 = -69 + 3x + 2(-2 + x) 7 = -69 + 3x + (-2 * 2 + x * 2) 7 = -69 + 3x + (-4 + 2x) Reorder the terms: 7 = -69 + -4 + 3x + 2x Combine like terms: -69 + -4 = -73 7 = -73 + 3x + 2x Combine like terms: 3x + 2x = 5x 7 = -73 + 5x Solving 7 = -73 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 7 + -5x = -73 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + -5x = -73 + 0 7 + -5x = -73 Add '-7' to each side of the equation. 7 + -7 + -5x = -73 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = -73 + -7 -5x = -73 + -7 Combine like terms: -73 + -7 = -80 -5x = -80 Divide each side by '-5'. x = 16 Simplifying x = 16
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