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Simplifying -4(2 + x) + 7x = -7 + -1(-2x + -7) (2 * -4 + x * -4) + 7x = -7 + -1(-2x + -7) (-8 + -4x) + 7x = -7 + -1(-2x + -7) Combine like terms: -4x + 7x = 3x -8 + 3x = -7 + -1(-2x + -7) Reorder the terms: -8 + 3x = -7 + -1(-7 + -2x) -8 + 3x = -7 + (-7 * -1 + -2x * -1) -8 + 3x = -7 + (7 + 2x) Combine like terms: -7 + 7 = 0 -8 + 3x = 0 + 2x -8 + 3x = 2x Solving -8 + 3x = 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 + 3x + -2x = 2x + -2x Combine like terms: 3x + -2x = 1x -8 + 1x = 2x + -2x Combine like terms: 2x + -2x = 0 -8 + 1x = 0 Add '8' to each side of the equation. -8 + 8 + 1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = 0 + 8 1x = 0 + 8 Combine like terms: 0 + 8 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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