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Simplifying 4x + -42 = -12 + x + 15 Reorder the terms: -42 + 4x = -12 + x + 15 Reorder the terms: -42 + 4x = -12 + 15 + x Combine like terms: -12 + 15 = 3 -42 + 4x = 3 + x Solving -42 + 4x = 3 + 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. -42 + 4x + -1x = 3 + x + -1x Combine like terms: 4x + -1x = 3x -42 + 3x = 3 + x + -1x Combine like terms: x + -1x = 0 -42 + 3x = 3 + 0 -42 + 3x = 3 Add '42' to each side of the equation. -42 + 42 + 3x = 3 + 42 Combine like terms: -42 + 42 = 0 0 + 3x = 3 + 42 3x = 3 + 42 Combine like terms: 3 + 42 = 45 3x = 45 Divide each side by '3'. x = 15 Simplifying x = 15
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