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Simplifying 6(x + -7) + 9 = 3(x + -7) Reorder the terms: 6(-7 + x) + 9 = 3(x + -7) (-7 * 6 + x * 6) + 9 = 3(x + -7) (-42 + 6x) + 9 = 3(x + -7) Reorder the terms: -42 + 9 + 6x = 3(x + -7) Combine like terms: -42 + 9 = -33 -33 + 6x = 3(x + -7) Reorder the terms: -33 + 6x = 3(-7 + x) -33 + 6x = (-7 * 3 + x * 3) -33 + 6x = (-21 + 3x) Solving -33 + 6x = -21 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -33 + 6x + -3x = -21 + 3x + -3x Combine like terms: 6x + -3x = 3x -33 + 3x = -21 + 3x + -3x Combine like terms: 3x + -3x = 0 -33 + 3x = -21 + 0 -33 + 3x = -21 Add '33' to each side of the equation. -33 + 33 + 3x = -21 + 33 Combine like terms: -33 + 33 = 0 0 + 3x = -21 + 33 3x = -21 + 33 Combine like terms: -21 + 33 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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