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Simplifying 5(1x + 9) + -3x + 4 = 95 + -2(x + 7) Reorder the terms: 5(9 + 1x) + -3x + 4 = 95 + -2(x + 7) (9 * 5 + 1x * 5) + -3x + 4 = 95 + -2(x + 7) (45 + 5x) + -3x + 4 = 95 + -2(x + 7) Reorder the terms: 45 + 4 + 5x + -3x = 95 + -2(x + 7) Combine like terms: 45 + 4 = 49 49 + 5x + -3x = 95 + -2(x + 7) Combine like terms: 5x + -3x = 2x 49 + 2x = 95 + -2(x + 7) Reorder the terms: 49 + 2x = 95 + -2(7 + x) 49 + 2x = 95 + (7 * -2 + x * -2) 49 + 2x = 95 + (-14 + -2x) Combine like terms: 95 + -14 = 81 49 + 2x = 81 + -2x Solving 49 + 2x = 81 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 49 + 2x + 2x = 81 + -2x + 2x Combine like terms: 2x + 2x = 4x 49 + 4x = 81 + -2x + 2x Combine like terms: -2x + 2x = 0 49 + 4x = 81 + 0 49 + 4x = 81 Add '-49' to each side of the equation. 49 + -49 + 4x = 81 + -49 Combine like terms: 49 + -49 = 0 0 + 4x = 81 + -49 4x = 81 + -49 Combine like terms: 81 + -49 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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