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Simplifying 4(x + -5) + 2 = x + 12 Reorder the terms: 4(-5 + x) + 2 = x + 12 (-5 * 4 + x * 4) + 2 = x + 12 (-20 + 4x) + 2 = x + 12 Reorder the terms: -20 + 2 + 4x = x + 12 Combine like terms: -20 + 2 = -18 -18 + 4x = x + 12 Reorder the terms: -18 + 4x = 12 + x Solving -18 + 4x = 12 + 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. -18 + 4x + -1x = 12 + x + -1x Combine like terms: 4x + -1x = 3x -18 + 3x = 12 + x + -1x Combine like terms: x + -1x = 0 -18 + 3x = 12 + 0 -18 + 3x = 12 Add '18' to each side of the equation. -18 + 18 + 3x = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 3x = 12 + 18 3x = 12 + 18 Combine like terms: 12 + 18 = 30 3x = 30 Divide each side by '3'. x = 10 Simplifying x = 10
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