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Simplifying -5(6x + 8) = 7(-7 + -3x) Reorder the terms: -5(8 + 6x) = 7(-7 + -3x) (8 * -5 + 6x * -5) = 7(-7 + -3x) (-40 + -30x) = 7(-7 + -3x) -40 + -30x = (-7 * 7 + -3x * 7) -40 + -30x = (-49 + -21x) Solving -40 + -30x = -49 + -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. -40 + -30x + 21x = -49 + -21x + 21x Combine like terms: -30x + 21x = -9x -40 + -9x = -49 + -21x + 21x Combine like terms: -21x + 21x = 0 -40 + -9x = -49 + 0 -40 + -9x = -49 Add '40' to each side of the equation. -40 + 40 + -9x = -49 + 40 Combine like terms: -40 + 40 = 0 0 + -9x = -49 + 40 -9x = -49 + 40 Combine like terms: -49 + 40 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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