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Simplifying 2x + 6 + -4(x + 1) = 5x + 6 Reorder the terms: 2x + 6 + -4(1 + x) = 5x + 6 2x + 6 + (1 * -4 + x * -4) = 5x + 6 2x + 6 + (-4 + -4x) = 5x + 6 Reorder the terms: 6 + -4 + 2x + -4x = 5x + 6 Combine like terms: 6 + -4 = 2 2 + 2x + -4x = 5x + 6 Combine like terms: 2x + -4x = -2x 2 + -2x = 5x + 6 Reorder the terms: 2 + -2x = 6 + 5x Solving 2 + -2x = 6 + 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 = 6 + 5x + -5x Combine like terms: -2x + -5x = -7x 2 + -7x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + -7x = 6 + 0 2 + -7x = 6 Add '-2' to each side of the equation. 2 + -2 + -7x = 6 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 6 + -2 -7x = 6 + -2 Combine like terms: 6 + -2 = 4 -7x = 4 Divide each side by '-7'. x = -0.5714285714 Simplifying x = -0.5714285714
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