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Simplifying 7(x + -5) + -4 = -3(-8x + 7) + -5x Reorder the terms: 7(-5 + x) + -4 = -3(-8x + 7) + -5x (-5 * 7 + x * 7) + -4 = -3(-8x + 7) + -5x (-35 + 7x) + -4 = -3(-8x + 7) + -5x Reorder the terms: -35 + -4 + 7x = -3(-8x + 7) + -5x Combine like terms: -35 + -4 = -39 -39 + 7x = -3(-8x + 7) + -5x Reorder the terms: -39 + 7x = -3(7 + -8x) + -5x -39 + 7x = (7 * -3 + -8x * -3) + -5x -39 + 7x = (-21 + 24x) + -5x Combine like terms: 24x + -5x = 19x -39 + 7x = -21 + 19x Solving -39 + 7x = -21 + 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. -39 + 7x + -19x = -21 + 19x + -19x Combine like terms: 7x + -19x = -12x -39 + -12x = -21 + 19x + -19x Combine like terms: 19x + -19x = 0 -39 + -12x = -21 + 0 -39 + -12x = -21 Add '39' to each side of the equation. -39 + 39 + -12x = -21 + 39 Combine like terms: -39 + 39 = 0 0 + -12x = -21 + 39 -12x = -21 + 39 Combine like terms: -21 + 39 = 18 -12x = 18 Divide each side by '-12'. x = -1.5 Simplifying x = -1.5
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