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Simplifying 6(x + -5) = 7x + -13 Reorder the terms: 6(-5 + x) = 7x + -13 (-5 * 6 + x * 6) = 7x + -13 (-30 + 6x) = 7x + -13 Reorder the terms: -30 + 6x = -13 + 7x Solving -30 + 6x = -13 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -30 + 6x + -7x = -13 + 7x + -7x Combine like terms: 6x + -7x = -1x -30 + -1x = -13 + 7x + -7x Combine like terms: 7x + -7x = 0 -30 + -1x = -13 + 0 -30 + -1x = -13 Add '30' to each side of the equation. -30 + 30 + -1x = -13 + 30 Combine like terms: -30 + 30 = 0 0 + -1x = -13 + 30 -1x = -13 + 30 Combine like terms: -13 + 30 = 17 -1x = 17 Divide each side by '-1'. x = -17 Simplifying x = -17
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