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Simplifying 5(7x + -8) = 3(x + 8) + -4(6x + -7) Reorder the terms: 5(-8 + 7x) = 3(x + 8) + -4(6x + -7) (-8 * 5 + 7x * 5) = 3(x + 8) + -4(6x + -7) (-40 + 35x) = 3(x + 8) + -4(6x + -7) Reorder the terms: -40 + 35x = 3(8 + x) + -4(6x + -7) -40 + 35x = (8 * 3 + x * 3) + -4(6x + -7) -40 + 35x = (24 + 3x) + -4(6x + -7) Reorder the terms: -40 + 35x = 24 + 3x + -4(-7 + 6x) -40 + 35x = 24 + 3x + (-7 * -4 + 6x * -4) -40 + 35x = 24 + 3x + (28 + -24x) Reorder the terms: -40 + 35x = 24 + 28 + 3x + -24x Combine like terms: 24 + 28 = 52 -40 + 35x = 52 + 3x + -24x Combine like terms: 3x + -24x = -21x -40 + 35x = 52 + -21x Solving -40 + 35x = 52 + -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 + 35x + 21x = 52 + -21x + 21x Combine like terms: 35x + 21x = 56x -40 + 56x = 52 + -21x + 21x Combine like terms: -21x + 21x = 0 -40 + 56x = 52 + 0 -40 + 56x = 52 Add '40' to each side of the equation. -40 + 40 + 56x = 52 + 40 Combine like terms: -40 + 40 = 0 0 + 56x = 52 + 40 56x = 52 + 40 Combine like terms: 52 + 40 = 92 56x = 92 Divide each side by '56'. x = 1.642857143 Simplifying x = 1.642857143
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