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Simplifying -13 + -4x = 2(3 + -5x) + -7 -13 + -4x = (3 * 2 + -5x * 2) + -7 -13 + -4x = (6 + -10x) + -7 Reorder the terms: -13 + -4x = 6 + -7 + -10x Combine like terms: 6 + -7 = -1 -13 + -4x = -1 + -10x Solving -13 + -4x = -1 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -13 + -4x + 10x = -1 + -10x + 10x Combine like terms: -4x + 10x = 6x -13 + 6x = -1 + -10x + 10x Combine like terms: -10x + 10x = 0 -13 + 6x = -1 + 0 -13 + 6x = -1 Add '13' to each side of the equation. -13 + 13 + 6x = -1 + 13 Combine like terms: -13 + 13 = 0 0 + 6x = -1 + 13 6x = -1 + 13 Combine like terms: -1 + 13 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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