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Simplifying -13 + -7x = -2x + 3(x + 1) Reorder the terms: -13 + -7x = -2x + 3(1 + x) -13 + -7x = -2x + (1 * 3 + x * 3) -13 + -7x = -2x + (3 + 3x) Reorder the terms: -13 + -7x = 3 + -2x + 3x Combine like terms: -2x + 3x = 1x -13 + -7x = 3 + 1x Solving -13 + -7x = 3 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -13 + -7x + -1x = 3 + 1x + -1x Combine like terms: -7x + -1x = -8x -13 + -8x = 3 + 1x + -1x Combine like terms: 1x + -1x = 0 -13 + -8x = 3 + 0 -13 + -8x = 3 Add '13' to each side of the equation. -13 + 13 + -8x = 3 + 13 Combine like terms: -13 + 13 = 0 0 + -8x = 3 + 13 -8x = 3 + 13 Combine like terms: 3 + 13 = 16 -8x = 16 Divide each side by '-8'. x = -2 Simplifying x = -2
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