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Simplifying 3x + 5 + -6(x + 1) = -4x + 5 Reorder the terms: 3x + 5 + -6(1 + x) = -4x + 5 3x + 5 + (1 * -6 + x * -6) = -4x + 5 3x + 5 + (-6 + -6x) = -4x + 5 Reorder the terms: 5 + -6 + 3x + -6x = -4x + 5 Combine like terms: 5 + -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 = 1x -1 + 1x = 5 + -4x + 4x Combine like terms: -4x + 4x = 0 -1 + 1x = 5 + 0 -1 + 1x = 5 Add '1' to each side of the equation. -1 + 1 + 1x = 5 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 5 + 1 1x = 5 + 1 Combine like terms: 5 + 1 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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