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Simplifying 7(x + -4) = 9x + -3(x + 12) Reorder the terms: 7(-4 + x) = 9x + -3(x + 12) (-4 * 7 + x * 7) = 9x + -3(x + 12) (-28 + 7x) = 9x + -3(x + 12) Reorder the terms: -28 + 7x = 9x + -3(12 + x) -28 + 7x = 9x + (12 * -3 + x * -3) -28 + 7x = 9x + (-36 + -3x) Reorder the terms: -28 + 7x = -36 + 9x + -3x Combine like terms: 9x + -3x = 6x -28 + 7x = -36 + 6x Solving -28 + 7x = -36 + 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. -28 + 7x + -6x = -36 + 6x + -6x Combine like terms: 7x + -6x = 1x -28 + 1x = -36 + 6x + -6x Combine like terms: 6x + -6x = 0 -28 + 1x = -36 + 0 -28 + 1x = -36 Add '28' to each side of the equation. -28 + 28 + 1x = -36 + 28 Combine like terms: -28 + 28 = 0 0 + 1x = -36 + 28 1x = -36 + 28 Combine like terms: -36 + 28 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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