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Simplifying 4 + 2(x + -4) = 3x + 6 Reorder the terms: 4 + 2(-4 + x) = 3x + 6 4 + (-4 * 2 + x * 2) = 3x + 6 4 + (-8 + 2x) = 3x + 6 Combine like terms: 4 + -8 = -4 -4 + 2x = 3x + 6 Reorder the terms: -4 + 2x = 6 + 3x Solving -4 + 2x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -4 + 2x + -3x = 6 + 3x + -3x Combine like terms: 2x + -3x = -1x -4 + -1x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + -1x = 6 + 0 -4 + -1x = 6 Add '4' to each side of the equation. -4 + 4 + -1x = 6 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 6 + 4 -1x = 6 + 4 Combine like terms: 6 + 4 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10
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