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Simplifying 2x + 8 + -6(x + 1) = 3x + 7 Reorder the terms: 2x + 8 + -6(1 + x) = 3x + 7 2x + 8 + (1 * -6 + x * -6) = 3x + 7 2x + 8 + (-6 + -6x) = 3x + 7 Reorder the terms: 8 + -6 + 2x + -6x = 3x + 7 Combine like terms: 8 + -6 = 2 2 + 2x + -6x = 3x + 7 Combine like terms: 2x + -6x = -4x 2 + -4x = 3x + 7 Reorder the terms: 2 + -4x = 7 + 3x Solving 2 + -4x = 7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 2 + -4x + -3x = 7 + 3x + -3x Combine like terms: -4x + -3x = -7x 2 + -7x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + -7x = 7 + 0 2 + -7x = 7 Add '-2' to each side of the equation. 2 + -2 + -7x = 7 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 7 + -2 -7x = 7 + -2 Combine like terms: 7 + -2 = 5 -7x = 5 Divide each side by '-7'. x = -0.7142857143 Simplifying x = -0.7142857143
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