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Simplifying 3x + 7 + -6(x + 1) = 4x + 5 Reorder the terms: 3x + 7 + -6(1 + x) = 4x + 5 3x + 7 + (1 * -6 + x * -6) = 4x + 5 3x + 7 + (-6 + -6x) = 4x + 5 Reorder the terms: 7 + -6 + 3x + -6x = 4x + 5 Combine like terms: 7 + -6 = 1 1 + 3x + -6x = 4x + 5 Combine like terms: 3x + -6x = -3x 1 + -3x = 4x + 5 Reorder the terms: 1 + -3x = 5 + 4x Solving 1 + -3x = 5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 1 + -3x + -4x = 5 + 4x + -4x Combine like terms: -3x + -4x = -7x 1 + -7x = 5 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + -7x = 5 + 0 1 + -7x = 5 Add '-1' to each side of the equation. 1 + -1 + -7x = 5 + -1 Combine like terms: 1 + -1 = 0 0 + -7x = 5 + -1 -7x = 5 + -1 Combine like terms: 5 + -1 = 4 -7x = 4 Divide each side by '-7'. x = -0.5714285714 Simplifying x = -0.5714285714
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