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Simplifying 7x + -12 = 8x + -1(9 + 4x) + 3(7 + -1x) Reorder the terms: -12 + 7x = 8x + -1(9 + 4x) + 3(7 + -1x) -12 + 7x = 8x + (9 * -1 + 4x * -1) + 3(7 + -1x) -12 + 7x = 8x + (-9 + -4x) + 3(7 + -1x) -12 + 7x = 8x + -9 + -4x + (7 * 3 + -1x * 3) -12 + 7x = 8x + -9 + -4x + (21 + -3x) Reorder the terms: -12 + 7x = -9 + 21 + 8x + -4x + -3x Combine like terms: -9 + 21 = 12 -12 + 7x = 12 + 8x + -4x + -3x Combine like terms: 8x + -4x = 4x -12 + 7x = 12 + 4x + -3x Combine like terms: 4x + -3x = 1x -12 + 7x = 12 + 1x Solving -12 + 7x = 12 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -12 + 7x + -1x = 12 + 1x + -1x Combine like terms: 7x + -1x = 6x -12 + 6x = 12 + 1x + -1x Combine like terms: 1x + -1x = 0 -12 + 6x = 12 + 0 -12 + 6x = 12 Add '12' to each side of the equation. -12 + 12 + 6x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = 12 + 12 6x = 12 + 12 Combine like terms: 12 + 12 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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