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Simplifying 3x + -5 + -1x = -2(2x + 3) + 13 Reorder the terms: -5 + 3x + -1x = -2(2x + 3) + 13 Combine like terms: 3x + -1x = 2x -5 + 2x = -2(2x + 3) + 13 Reorder the terms: -5 + 2x = -2(3 + 2x) + 13 -5 + 2x = (3 * -2 + 2x * -2) + 13 -5 + 2x = (-6 + -4x) + 13 Reorder the terms: -5 + 2x = -6 + 13 + -4x Combine like terms: -6 + 13 = 7 -5 + 2x = 7 + -4x Solving -5 + 2x = 7 + -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 + 2x + 4x = 7 + -4x + 4x Combine like terms: 2x + 4x = 6x -5 + 6x = 7 + -4x + 4x Combine like terms: -4x + 4x = 0 -5 + 6x = 7 + 0 -5 + 6x = 7 Add '5' to each side of the equation. -5 + 5 + 6x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 6x = 7 + 5 6x = 7 + 5 Combine like terms: 7 + 5 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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