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Simplifying 4x + 7(-3x + -5) = -45 + -7x Reorder the terms: 4x + 7(-5 + -3x) = -45 + -7x 4x + (-5 * 7 + -3x * 7) = -45 + -7x 4x + (-35 + -21x) = -45 + -7x Reorder the terms: -35 + 4x + -21x = -45 + -7x Combine like terms: 4x + -21x = -17x -35 + -17x = -45 + -7x Solving -35 + -17x = -45 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -35 + -17x + 7x = -45 + -7x + 7x Combine like terms: -17x + 7x = -10x -35 + -10x = -45 + -7x + 7x Combine like terms: -7x + 7x = 0 -35 + -10x = -45 + 0 -35 + -10x = -45 Add '35' to each side of the equation. -35 + 35 + -10x = -45 + 35 Combine like terms: -35 + 35 = 0 0 + -10x = -45 + 35 -10x = -45 + 35 Combine like terms: -45 + 35 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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