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Simplifying 3x + 7 + -5(x + 1) = 7x + 6 Reorder the terms: 3x + 7 + -5(1 + x) = 7x + 6 3x + 7 + (1 * -5 + x * -5) = 7x + 6 3x + 7 + (-5 + -5x) = 7x + 6 Reorder the terms: 7 + -5 + 3x + -5x = 7x + 6 Combine like terms: 7 + -5 = 2 2 + 3x + -5x = 7x + 6 Combine like terms: 3x + -5x = -2x 2 + -2x = 7x + 6 Reorder the terms: 2 + -2x = 6 + 7x Solving 2 + -2x = 6 + 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 = 6 + 7x + -7x Combine like terms: -2x + -7x = -9x 2 + -9x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 2 + -9x = 6 + 0 2 + -9x = 6 Add '-2' to each side of the equation. 2 + -2 + -9x = 6 + -2 Combine like terms: 2 + -2 = 0 0 + -9x = 6 + -2 -9x = 6 + -2 Combine like terms: 6 + -2 = 4 -9x = 4 Divide each side by '-9'. x = -0.4444444444 Simplifying x = -0.4444444444
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