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Simplifying 5x + 7 + -2x = -1x + 47 Reorder the terms: 7 + 5x + -2x = -1x + 47 Combine like terms: 5x + -2x = 3x 7 + 3x = -1x + 47 Reorder the terms: 7 + 3x = 47 + -1x Solving 7 + 3x = 47 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 7 + 3x + x = 47 + -1x + x Combine like terms: 3x + x = 4x 7 + 4x = 47 + -1x + x Combine like terms: -1x + x = 0 7 + 4x = 47 + 0 7 + 4x = 47 Add '-7' to each side of the equation. 7 + -7 + 4x = 47 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = 47 + -7 4x = 47 + -7 Combine like terms: 47 + -7 = 40 4x = 40 Divide each side by '4'. x = 10 Simplifying x = 10
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