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Simplifying 5x + 5 + -2x = 3x + -1(2 + -1x) Reorder the terms: 5 + 5x + -2x = 3x + -1(2 + -1x) Combine like terms: 5x + -2x = 3x 5 + 3x = 3x + -1(2 + -1x) 5 + 3x = 3x + (2 * -1 + -1x * -1) 5 + 3x = 3x + (-2 + 1x) Reorder the terms: 5 + 3x = -2 + 3x + 1x Combine like terms: 3x + 1x = 4x 5 + 3x = -2 + 4x Solving 5 + 3x = -2 + 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. 5 + 3x + -4x = -2 + 4x + -4x Combine like terms: 3x + -4x = -1x 5 + -1x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + -1x = -2 + 0 5 + -1x = -2 Add '-5' to each side of the equation. 5 + -5 + -1x = -2 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = -2 + -5 -1x = -2 + -5 Combine like terms: -2 + -5 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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