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Simplifying 7x + -12 + -1(5x + -4) = 4(2x + 3) + -3 Reorder the terms: 7x + -12 + -1(-4 + 5x) = 4(2x + 3) + -3 7x + -12 + (-4 * -1 + 5x * -1) = 4(2x + 3) + -3 7x + -12 + (4 + -5x) = 4(2x + 3) + -3 Reorder the terms: -12 + 4 + 7x + -5x = 4(2x + 3) + -3 Combine like terms: -12 + 4 = -8 -8 + 7x + -5x = 4(2x + 3) + -3 Combine like terms: 7x + -5x = 2x -8 + 2x = 4(2x + 3) + -3 Reorder the terms: -8 + 2x = 4(3 + 2x) + -3 -8 + 2x = (3 * 4 + 2x * 4) + -3 -8 + 2x = (12 + 8x) + -3 Reorder the terms: -8 + 2x = 12 + -3 + 8x Combine like terms: 12 + -3 = 9 -8 + 2x = 9 + 8x Solving -8 + 2x = 9 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -8 + 2x + -8x = 9 + 8x + -8x Combine like terms: 2x + -8x = -6x -8 + -6x = 9 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + -6x = 9 + 0 -8 + -6x = 9 Add '8' to each side of the equation. -8 + 8 + -6x = 9 + 8 Combine like terms: -8 + 8 = 0 0 + -6x = 9 + 8 -6x = 9 + 8 Combine like terms: 9 + 8 = 17 -6x = 17 Divide each side by '-6'. x = -2.833333333 Simplifying x = -2.833333333
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