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Simplifying 2x + 2 + -4(x + 1) = 7x + 2 Reorder the terms: 2x + 2 + -4(1 + x) = 7x + 2 2x + 2 + (1 * -4 + x * -4) = 7x + 2 2x + 2 + (-4 + -4x) = 7x + 2 Reorder the terms: 2 + -4 + 2x + -4x = 7x + 2 Combine like terms: 2 + -4 = -2 -2 + 2x + -4x = 7x + 2 Combine like terms: 2x + -4x = -2x -2 + -2x = 7x + 2 Reorder the terms: -2 + -2x = 2 + 7x Solving -2 + -2x = 2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -2 + -2x + -7x = 2 + 7x + -7x Combine like terms: -2x + -7x = -9x -2 + -9x = 2 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + -9x = 2 + 0 -2 + -9x = 2 Add '2' to each side of the equation. -2 + 2 + -9x = 2 + 2 Combine like terms: -2 + 2 = 0 0 + -9x = 2 + 2 -9x = 2 + 2 Combine like terms: 2 + 2 = 4 -9x = 4 Divide each side by '-9'. x = -0.4444444444 Simplifying x = -0.4444444444
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