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Simplifying 3(x + -7) = 6(x + 1) Reorder the terms: 3(-7 + x) = 6(x + 1) (-7 * 3 + x * 3) = 6(x + 1) (-21 + 3x) = 6(x + 1) Reorder the terms: -21 + 3x = 6(1 + x) -21 + 3x = (1 * 6 + x * 6) -21 + 3x = (6 + 6x) Solving -21 + 3x = 6 + 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 + 3x + -6x = 6 + 6x + -6x Combine like terms: 3x + -6x = -3x -21 + -3x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 -21 + -3x = 6 + 0 -21 + -3x = 6 Add '21' to each side of the equation. -21 + 21 + -3x = 6 + 21 Combine like terms: -21 + 21 = 0 0 + -3x = 6 + 21 -3x = 6 + 21 Combine like terms: 6 + 21 = 27 -3x = 27 Divide each side by '-3'. x = -9 Simplifying x = -9
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