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