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Simplifying 2(x + -4) = 4x + 3x + 7 Reorder the terms: 2(-4 + x) = 4x + 3x + 7 (-4 * 2 + x * 2) = 4x + 3x + 7 (-8 + 2x) = 4x + 3x + 7 Reorder the terms: -8 + 2x = 7 + 4x + 3x Combine like terms: 4x + 3x = 7x -8 + 2x = 7 + 7x Solving -8 + 2x = 7 + 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. -8 + 2x + -7x = 7 + 7x + -7x Combine like terms: 2x + -7x = -5x -8 + -5x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 -8 + -5x = 7 + 0 -8 + -5x = 7 Add '8' to each side of the equation. -8 + 8 + -5x = 7 + 8 Combine like terms: -8 + 8 = 0 0 + -5x = 7 + 8 -5x = 7 + 8 Combine like terms: 7 + 8 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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