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Simplifying 3x + 3 + -5(x + 1) = 7x + 5 Reorder the terms: 3x + 3 + -5(1 + x) = 7x + 5 3x + 3 + (1 * -5 + x * -5) = 7x + 5 3x + 3 + (-5 + -5x) = 7x + 5 Reorder the terms: 3 + -5 + 3x + -5x = 7x + 5 Combine like terms: 3 + -5 = -2 -2 + 3x + -5x = 7x + 5 Combine like terms: 3x + -5x = -2x -2 + -2x = 7x + 5 Reorder the terms: -2 + -2x = 5 + 7x Solving -2 + -2x = 5 + 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. -2 + -2x + -7x = 5 + 7x + -7x Combine like terms: -2x + -7x = -9x -2 + -9x = 5 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + -9x = 5 + 0 -2 + -9x = 5 Add '2' to each side of the equation. -2 + 2 + -9x = 5 + 2 Combine like terms: -2 + 2 = 0 0 + -9x = 5 + 2 -9x = 5 + 2 Combine like terms: 5 + 2 = 7 -9x = 7 Divide each side by '-9'. x = -0.7777777778 Simplifying x = -0.7777777778
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