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Simplifying 5 + 8(x + -5) = 3 + -7(x + -4) Reorder the terms: 5 + 8(-5 + x) = 3 + -7(x + -4) 5 + (-5 * 8 + x * 8) = 3 + -7(x + -4) 5 + (-40 + 8x) = 3 + -7(x + -4) Combine like terms: 5 + -40 = -35 -35 + 8x = 3 + -7(x + -4) Reorder the terms: -35 + 8x = 3 + -7(-4 + x) -35 + 8x = 3 + (-4 * -7 + x * -7) -35 + 8x = 3 + (28 + -7x) Combine like terms: 3 + 28 = 31 -35 + 8x = 31 + -7x Solving -35 + 8x = 31 + -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 + 8x + 7x = 31 + -7x + 7x Combine like terms: 8x + 7x = 15x -35 + 15x = 31 + -7x + 7x Combine like terms: -7x + 7x = 0 -35 + 15x = 31 + 0 -35 + 15x = 31 Add '35' to each side of the equation. -35 + 35 + 15x = 31 + 35 Combine like terms: -35 + 35 = 0 0 + 15x = 31 + 35 15x = 31 + 35 Combine like terms: 31 + 35 = 66 15x = 66 Divide each side by '15'. x = 4.4 Simplifying x = 4.4
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