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Simplifying 7x + 7 + -4(x + 1) = 6x + 5 Reorder the terms: 7x + 7 + -4(1 + x) = 6x + 5 7x + 7 + (1 * -4 + x * -4) = 6x + 5 7x + 7 + (-4 + -4x) = 6x + 5 Reorder the terms: 7 + -4 + 7x + -4x = 6x + 5 Combine like terms: 7 + -4 = 3 3 + 7x + -4x = 6x + 5 Combine like terms: 7x + -4x = 3x 3 + 3x = 6x + 5 Reorder the terms: 3 + 3x = 5 + 6x Solving 3 + 3x = 5 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 3 + 3x + -6x = 5 + 6x + -6x Combine like terms: 3x + -6x = -3x 3 + -3x = 5 + 6x + -6x Combine like terms: 6x + -6x = 0 3 + -3x = 5 + 0 3 + -3x = 5 Add '-3' to each side of the equation. 3 + -3 + -3x = 5 + -3 Combine like terms: 3 + -3 = 0 0 + -3x = 5 + -3 -3x = 5 + -3 Combine like terms: 5 + -3 = 2 -3x = 2 Divide each side by '-3'. x = -0.6666666667 Simplifying x = -0.6666666667
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