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Simplifying 3(x + -4) + 6 = x + 4 Reorder the terms: 3(-4 + x) + 6 = x + 4 (-4 * 3 + x * 3) + 6 = x + 4 (-12 + 3x) + 6 = x + 4 Reorder the terms: -12 + 6 + 3x = x + 4 Combine like terms: -12 + 6 = -6 -6 + 3x = x + 4 Reorder the terms: -6 + 3x = 4 + x Solving -6 + 3x = 4 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -6 + 3x + -1x = 4 + x + -1x Combine like terms: 3x + -1x = 2x -6 + 2x = 4 + x + -1x Combine like terms: x + -1x = 0 -6 + 2x = 4 + 0 -6 + 2x = 4 Add '6' to each side of the equation. -6 + 6 + 2x = 4 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 4 + 6 2x = 4 + 6 Combine like terms: 4 + 6 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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