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Simplifying -4(x + 4) = 2(5 + 3x) Reorder the terms: -4(4 + x) = 2(5 + 3x) (4 * -4 + x * -4) = 2(5 + 3x) (-16 + -4x) = 2(5 + 3x) -16 + -4x = (5 * 2 + 3x * 2) -16 + -4x = (10 + 6x) Solving -16 + -4x = 10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -16 + -4x + -6x = 10 + 6x + -6x Combine like terms: -4x + -6x = -10x -16 + -10x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 -16 + -10x = 10 + 0 -16 + -10x = 10 Add '16' to each side of the equation. -16 + 16 + -10x = 10 + 16 Combine like terms: -16 + 16 = 0 0 + -10x = 10 + 16 -10x = 10 + 16 Combine like terms: 10 + 16 = 26 -10x = 26 Divide each side by '-10'. x = -2.6 Simplifying x = -2.6
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