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Simplifying 7(x + -5) + -5 = -7(-3x + 7) + -2x Reorder the terms: 7(-5 + x) + -5 = -7(-3x + 7) + -2x (-5 * 7 + x * 7) + -5 = -7(-3x + 7) + -2x (-35 + 7x) + -5 = -7(-3x + 7) + -2x Reorder the terms: -35 + -5 + 7x = -7(-3x + 7) + -2x Combine like terms: -35 + -5 = -40 -40 + 7x = -7(-3x + 7) + -2x Reorder the terms: -40 + 7x = -7(7 + -3x) + -2x -40 + 7x = (7 * -7 + -3x * -7) + -2x -40 + 7x = (-49 + 21x) + -2x Combine like terms: 21x + -2x = 19x -40 + 7x = -49 + 19x Solving -40 + 7x = -49 + 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. -40 + 7x + -19x = -49 + 19x + -19x Combine like terms: 7x + -19x = -12x -40 + -12x = -49 + 19x + -19x Combine like terms: 19x + -19x = 0 -40 + -12x = -49 + 0 -40 + -12x = -49 Add '40' to each side of the equation. -40 + 40 + -12x = -49 + 40 Combine like terms: -40 + 40 = 0 0 + -12x = -49 + 40 -12x = -49 + 40 Combine like terms: -49 + 40 = -9 -12x = -9 Divide each side by '-12'. x = 0.75 Simplifying x = 0.75
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