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Simplifying 3x + 6 + -5(x + 1) = 7x + 8 Reorder the terms: 3x + 6 + -5(1 + x) = 7x + 8 3x + 6 + (1 * -5 + x * -5) = 7x + 8 3x + 6 + (-5 + -5x) = 7x + 8 Reorder the terms: 6 + -5 + 3x + -5x = 7x + 8 Combine like terms: 6 + -5 = 1 1 + 3x + -5x = 7x + 8 Combine like terms: 3x + -5x = -2x 1 + -2x = 7x + 8 Reorder the terms: 1 + -2x = 8 + 7x Solving 1 + -2x = 8 + 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. 1 + -2x + -7x = 8 + 7x + -7x Combine like terms: -2x + -7x = -9x 1 + -9x = 8 + 7x + -7x Combine like terms: 7x + -7x = 0 1 + -9x = 8 + 0 1 + -9x = 8 Add '-1' to each side of the equation. 1 + -1 + -9x = 8 + -1 Combine like terms: 1 + -1 = 0 0 + -9x = 8 + -1 -9x = 8 + -1 Combine like terms: 8 + -1 = 7 -9x = 7 Divide each side by '-9'. x = -0.7777777778 Simplifying x = -0.7777777778
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