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Simplifying 7(x + -3) = 2 + 6(x + -5) Reorder the terms: 7(-3 + x) = 2 + 6(x + -5) (-3 * 7 + x * 7) = 2 + 6(x + -5) (-21 + 7x) = 2 + 6(x + -5) Reorder the terms: -21 + 7x = 2 + 6(-5 + x) -21 + 7x = 2 + (-5 * 6 + x * 6) -21 + 7x = 2 + (-30 + 6x) Combine like terms: 2 + -30 = -28 -21 + 7x = -28 + 6x Solving -21 + 7x = -28 + 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. -21 + 7x + -6x = -28 + 6x + -6x Combine like terms: 7x + -6x = 1x -21 + 1x = -28 + 6x + -6x Combine like terms: 6x + -6x = 0 -21 + 1x = -28 + 0 -21 + 1x = -28 Add '21' to each side of the equation. -21 + 21 + 1x = -28 + 21 Combine like terms: -21 + 21 = 0 0 + 1x = -28 + 21 1x = -28 + 21 Combine like terms: -28 + 21 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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