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Simplifying 5(4x + -3(x + 4)) = 8x + -3 Reorder the terms: 5(4x + -3(4 + x)) = 8x + -3 5(4x + (4 * -3 + x * -3)) = 8x + -3 5(4x + (-12 + -3x)) = 8x + -3 Reorder the terms: 5(-12 + 4x + -3x) = 8x + -3 Combine like terms: 4x + -3x = 1x 5(-12 + 1x) = 8x + -3 (-12 * 5 + 1x * 5) = 8x + -3 (-60 + 5x) = 8x + -3 Reorder the terms: -60 + 5x = -3 + 8x Solving -60 + 5x = -3 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -60 + 5x + -8x = -3 + 8x + -8x Combine like terms: 5x + -8x = -3x -60 + -3x = -3 + 8x + -8x Combine like terms: 8x + -8x = 0 -60 + -3x = -3 + 0 -60 + -3x = -3 Add '60' to each side of the equation. -60 + 60 + -3x = -3 + 60 Combine like terms: -60 + 60 = 0 0 + -3x = -3 + 60 -3x = -3 + 60 Combine like terms: -3 + 60 = 57 -3x = 57 Divide each side by '-3'. x = -19 Simplifying x = -19
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