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Simplifying 5(7x + -8) + -3x = -4(-7x + -3) Reorder the terms: 5(-8 + 7x) + -3x = -4(-7x + -3) (-8 * 5 + 7x * 5) + -3x = -4(-7x + -3) (-40 + 35x) + -3x = -4(-7x + -3) Combine like terms: 35x + -3x = 32x -40 + 32x = -4(-7x + -3) Reorder the terms: -40 + 32x = -4(-3 + -7x) -40 + 32x = (-3 * -4 + -7x * -4) -40 + 32x = (12 + 28x) Solving -40 + 32x = 12 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -40 + 32x + -28x = 12 + 28x + -28x Combine like terms: 32x + -28x = 4x -40 + 4x = 12 + 28x + -28x Combine like terms: 28x + -28x = 0 -40 + 4x = 12 + 0 -40 + 4x = 12 Add '40' to each side of the equation. -40 + 40 + 4x = 12 + 40 Combine like terms: -40 + 40 = 0 0 + 4x = 12 + 40 4x = 12 + 40 Combine like terms: 12 + 40 = 52 4x = 52 Divide each side by '4'. x = 13 Simplifying x = 13
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