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Simplifying 5 + -4(4x + 2) = 4 + -5(3x + -1) Reorder the terms: 5 + -4(2 + 4x) = 4 + -5(3x + -1) 5 + (2 * -4 + 4x * -4) = 4 + -5(3x + -1) 5 + (-8 + -16x) = 4 + -5(3x + -1) Combine like terms: 5 + -8 = -3 -3 + -16x = 4 + -5(3x + -1) Reorder the terms: -3 + -16x = 4 + -5(-1 + 3x) -3 + -16x = 4 + (-1 * -5 + 3x * -5) -3 + -16x = 4 + (5 + -15x) Combine like terms: 4 + 5 = 9 -3 + -16x = 9 + -15x Solving -3 + -16x = 9 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -3 + -16x + 15x = 9 + -15x + 15x Combine like terms: -16x + 15x = -1x -3 + -1x = 9 + -15x + 15x Combine like terms: -15x + 15x = 0 -3 + -1x = 9 + 0 -3 + -1x = 9 Add '3' to each side of the equation. -3 + 3 + -1x = 9 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 9 + 3 -1x = 9 + 3 Combine like terms: 9 + 3 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12
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