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Simplifying 2x + -4(x + 2) = 6x + -4x + 7 Reorder the terms: 2x + -4(2 + x) = 6x + -4x + 7 2x + (2 * -4 + x * -4) = 6x + -4x + 7 2x + (-8 + -4x) = 6x + -4x + 7 Reorder the terms: -8 + 2x + -4x = 6x + -4x + 7 Combine like terms: 2x + -4x = -2x -8 + -2x = 6x + -4x + 7 Reorder the terms: -8 + -2x = 7 + 6x + -4x Combine like terms: 6x + -4x = 2x -8 + -2x = 7 + 2x Solving -8 + -2x = 7 + 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 + -2x + -2x = 7 + 2x + -2x Combine like terms: -2x + -2x = -4x -8 + -4x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + -4x = 7 + 0 -8 + -4x = 7 Add '8' to each side of the equation. -8 + 8 + -4x = 7 + 8 Combine like terms: -8 + 8 = 0 0 + -4x = 7 + 8 -4x = 7 + 8 Combine like terms: 7 + 8 = 15 -4x = 15 Divide each side by '-4'. x = -3.75 Simplifying x = -3.75
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