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Simplifying 8(x + -5) = -7(x + -3) Reorder the terms: 8(-5 + x) = -7(x + -3) (-5 * 8 + x * 8) = -7(x + -3) (-40 + 8x) = -7(x + -3) Reorder the terms: -40 + 8x = -7(-3 + x) -40 + 8x = (-3 * -7 + x * -7) -40 + 8x = (21 + -7x) Solving -40 + 8x = 21 + -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. -40 + 8x + 7x = 21 + -7x + 7x Combine like terms: 8x + 7x = 15x -40 + 15x = 21 + -7x + 7x Combine like terms: -7x + 7x = 0 -40 + 15x = 21 + 0 -40 + 15x = 21 Add '40' to each side of the equation. -40 + 40 + 15x = 21 + 40 Combine like terms: -40 + 40 = 0 0 + 15x = 21 + 40 15x = 21 + 40 Combine like terms: 21 + 40 = 61 15x = 61 Divide each side by '15'. x = 4.066666667 Simplifying x = 4.066666667
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