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Simplifying 2x + -5(x + 9) = 7x + 95 Reorder the terms: 2x + -5(9 + x) = 7x + 95 2x + (9 * -5 + x * -5) = 7x + 95 2x + (-45 + -5x) = 7x + 95 Reorder the terms: -45 + 2x + -5x = 7x + 95 Combine like terms: 2x + -5x = -3x -45 + -3x = 7x + 95 Reorder the terms: -45 + -3x = 95 + 7x Solving -45 + -3x = 95 + 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. -45 + -3x + -7x = 95 + 7x + -7x Combine like terms: -3x + -7x = -10x -45 + -10x = 95 + 7x + -7x Combine like terms: 7x + -7x = 0 -45 + -10x = 95 + 0 -45 + -10x = 95 Add '45' to each side of the equation. -45 + 45 + -10x = 95 + 45 Combine like terms: -45 + 45 = 0 0 + -10x = 95 + 45 -10x = 95 + 45 Combine like terms: 95 + 45 = 140 -10x = 140 Divide each side by '-10'. x = -14 Simplifying x = -14
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