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Simplifying 5(4x + -7) + -4(4x + 2) = 5(8x + 2) Reorder the terms: 5(-7 + 4x) + -4(4x + 2) = 5(8x + 2) (-7 * 5 + 4x * 5) + -4(4x + 2) = 5(8x + 2) (-35 + 20x) + -4(4x + 2) = 5(8x + 2) Reorder the terms: -35 + 20x + -4(2 + 4x) = 5(8x + 2) -35 + 20x + (2 * -4 + 4x * -4) = 5(8x + 2) -35 + 20x + (-8 + -16x) = 5(8x + 2) Reorder the terms: -35 + -8 + 20x + -16x = 5(8x + 2) Combine like terms: -35 + -8 = -43 -43 + 20x + -16x = 5(8x + 2) Combine like terms: 20x + -16x = 4x -43 + 4x = 5(8x + 2) Reorder the terms: -43 + 4x = 5(2 + 8x) -43 + 4x = (2 * 5 + 8x * 5) -43 + 4x = (10 + 40x) Solving -43 + 4x = 10 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. -43 + 4x + -40x = 10 + 40x + -40x Combine like terms: 4x + -40x = -36x -43 + -36x = 10 + 40x + -40x Combine like terms: 40x + -40x = 0 -43 + -36x = 10 + 0 -43 + -36x = 10 Add '43' to each side of the equation. -43 + 43 + -36x = 10 + 43 Combine like terms: -43 + 43 = 0 0 + -36x = 10 + 43 -36x = 10 + 43 Combine like terms: 10 + 43 = 53 -36x = 53 Divide each side by '-36'. x = -1.472222222 Simplifying x = -1.472222222
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