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Simplifying -1x + -40 = -4x + 47 Reorder the terms: -40 + -1x = -4x + 47 Reorder the terms: -40 + -1x = 47 + -4x Solving -40 + -1x = 47 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -40 + -1x + 4x = 47 + -4x + 4x Combine like terms: -1x + 4x = 3x -40 + 3x = 47 + -4x + 4x Combine like terms: -4x + 4x = 0 -40 + 3x = 47 + 0 -40 + 3x = 47 Add '40' to each side of the equation. -40 + 40 + 3x = 47 + 40 Combine like terms: -40 + 40 = 0 0 + 3x = 47 + 40 3x = 47 + 40 Combine like terms: 47 + 40 = 87 3x = 87 Divide each side by '3'. x = 29 Simplifying x = 29
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