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Simplifying -7x + -15(x + 2) = -7(3x + 5) Reorder the terms: -7x + -15(2 + x) = -7(3x + 5) -7x + (2 * -15 + x * -15) = -7(3x + 5) -7x + (-30 + -15x) = -7(3x + 5) Reorder the terms: -30 + -7x + -15x = -7(3x + 5) Combine like terms: -7x + -15x = -22x -30 + -22x = -7(3x + 5) Reorder the terms: -30 + -22x = -7(5 + 3x) -30 + -22x = (5 * -7 + 3x * -7) -30 + -22x = (-35 + -21x) Solving -30 + -22x = -35 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. -30 + -22x + 21x = -35 + -21x + 21x Combine like terms: -22x + 21x = -1x -30 + -1x = -35 + -21x + 21x Combine like terms: -21x + 21x = 0 -30 + -1x = -35 + 0 -30 + -1x = -35 Add '30' to each side of the equation. -30 + 30 + -1x = -35 + 30 Combine like terms: -30 + 30 = 0 0 + -1x = -35 + 30 -1x = -35 + 30 Combine like terms: -35 + 30 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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