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