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Simplifying 3(x + -9) = 4(x + -7) Reorder the terms: 3(-9 + x) = 4(x + -7) (-9 * 3 + x * 3) = 4(x + -7) (-27 + 3x) = 4(x + -7) Reorder the terms: -27 + 3x = 4(-7 + x) -27 + 3x = (-7 * 4 + x * 4) -27 + 3x = (-28 + 4x) Solving -27 + 3x = -28 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -27 + 3x + -4x = -28 + 4x + -4x Combine like terms: 3x + -4x = -1x -27 + -1x = -28 + 4x + -4x Combine like terms: 4x + -4x = 0 -27 + -1x = -28 + 0 -27 + -1x = -28 Add '27' to each side of the equation. -27 + 27 + -1x = -28 + 27 Combine like terms: -27 + 27 = 0 0 + -1x = -28 + 27 -1x = -28 + 27 Combine like terms: -28 + 27 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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