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Simplifying -16 = -2(x + 5) + 5(x + 3) Reorder the terms: -16 = -2(5 + x) + 5(x + 3) -16 = (5 * -2 + x * -2) + 5(x + 3) -16 = (-10 + -2x) + 5(x + 3) Reorder the terms: -16 = -10 + -2x + 5(3 + x) -16 = -10 + -2x + (3 * 5 + x * 5) -16 = -10 + -2x + (15 + 5x) Reorder the terms: -16 = -10 + 15 + -2x + 5x Combine like terms: -10 + 15 = 5 -16 = 5 + -2x + 5x Combine like terms: -2x + 5x = 3x -16 = 5 + 3x Solving -16 = 5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -16 + -3x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 -16 + -3x = 5 + 0 -16 + -3x = 5 Add '16' to each side of the equation. -16 + 16 + -3x = 5 + 16 Combine like terms: -16 + 16 = 0 0 + -3x = 5 + 16 -3x = 5 + 16 Combine like terms: 5 + 16 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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