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Simplifying -4(x + 2) = -4(x + 1) + 2x + 7 Reorder the terms: -4(2 + x) = -4(x + 1) + 2x + 7 (2 * -4 + x * -4) = -4(x + 1) + 2x + 7 (-8 + -4x) = -4(x + 1) + 2x + 7 Reorder the terms: -8 + -4x = -4(1 + x) + 2x + 7 -8 + -4x = (1 * -4 + x * -4) + 2x + 7 -8 + -4x = (-4 + -4x) + 2x + 7 Reorder the terms: -8 + -4x = -4 + 7 + -4x + 2x Combine like terms: -4 + 7 = 3 -8 + -4x = 3 + -4x + 2x Combine like terms: -4x + 2x = -2x -8 + -4x = 3 + -2x Solving -8 + -4x = 3 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -8 + -4x + 2x = 3 + -2x + 2x Combine like terms: -4x + 2x = -2x -8 + -2x = 3 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + -2x = 3 + 0 -8 + -2x = 3 Add '8' to each side of the equation. -8 + 8 + -2x = 3 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = 3 + 8 -2x = 3 + 8 Combine like terms: 3 + 8 = 11 -2x = 11 Divide each side by '-2'. x = -5.5 Simplifying x = -5.5
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