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Simplifying 7(x + -4) + -8 = -3(-8x + 9) + -5x Reorder the terms: 7(-4 + x) + -8 = -3(-8x + 9) + -5x (-4 * 7 + x * 7) + -8 = -3(-8x + 9) + -5x (-28 + 7x) + -8 = -3(-8x + 9) + -5x Reorder the terms: -28 + -8 + 7x = -3(-8x + 9) + -5x Combine like terms: -28 + -8 = -36 -36 + 7x = -3(-8x + 9) + -5x Reorder the terms: -36 + 7x = -3(9 + -8x) + -5x -36 + 7x = (9 * -3 + -8x * -3) + -5x -36 + 7x = (-27 + 24x) + -5x Combine like terms: 24x + -5x = 19x -36 + 7x = -27 + 19x Solving -36 + 7x = -27 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. -36 + 7x + -19x = -27 + 19x + -19x Combine like terms: 7x + -19x = -12x -36 + -12x = -27 + 19x + -19x Combine like terms: 19x + -19x = 0 -36 + -12x = -27 + 0 -36 + -12x = -27 Add '36' to each side of the equation. -36 + 36 + -12x = -27 + 36 Combine like terms: -36 + 36 = 0 0 + -12x = -27 + 36 -12x = -27 + 36 Combine like terms: -27 + 36 = 9 -12x = 9 Divide each side by '-12'. x = -0.75 Simplifying x = -0.75
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