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Simplifying -13 + -3x = 2 + 6(x + -7) Reorder the terms: -13 + -3x = 2 + 6(-7 + x) -13 + -3x = 2 + (-7 * 6 + x * 6) -13 + -3x = 2 + (-42 + 6x) Combine like terms: 2 + -42 = -40 -13 + -3x = -40 + 6x Solving -13 + -3x = -40 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -13 + -3x + -6x = -40 + 6x + -6x Combine like terms: -3x + -6x = -9x -13 + -9x = -40 + 6x + -6x Combine like terms: 6x + -6x = 0 -13 + -9x = -40 + 0 -13 + -9x = -40 Add '13' to each side of the equation. -13 + 13 + -9x = -40 + 13 Combine like terms: -13 + 13 = 0 0 + -9x = -40 + 13 -9x = -40 + 13 Combine like terms: -40 + 13 = -27 -9x = -27 Divide each side by '-9'. x = 3 Simplifying x = 3
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