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Simplifying 5(x + 1) = 7x + 6 Reorder the terms: 5(1 + x) = 7x + 6 (1 * 5 + x * 5) = 7x + 6 (5 + 5x) = 7x + 6 Reorder the terms: 5 + 5x = 6 + 7x Solving 5 + 5x = 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. 5 + 5x + -7x = 6 + 7x + -7x Combine like terms: 5x + -7x = -2x 5 + -2x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 5 + -2x = 6 + 0 5 + -2x = 6 Add '-5' to each side of the equation. 5 + -5 + -2x = 6 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 6 + -5 -2x = 6 + -5 Combine like terms: 6 + -5 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5
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