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Simplifying 2(3x + -5) + 1 = 2x + 3 Reorder the terms: 2(-5 + 3x) + 1 = 2x + 3 (-5 * 2 + 3x * 2) + 1 = 2x + 3 (-10 + 6x) + 1 = 2x + 3 Reorder the terms: -10 + 1 + 6x = 2x + 3 Combine like terms: -10 + 1 = -9 -9 + 6x = 2x + 3 Reorder the terms: -9 + 6x = 3 + 2x Solving -9 + 6x = 3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -9 + 6x + -2x = 3 + 2x + -2x Combine like terms: 6x + -2x = 4x -9 + 4x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 -9 + 4x = 3 + 0 -9 + 4x = 3 Add '9' to each side of the equation. -9 + 9 + 4x = 3 + 9 Combine like terms: -9 + 9 = 0 0 + 4x = 3 + 9 4x = 3 + 9 Combine like terms: 3 + 9 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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