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Simplifying 7x + -16 = 5(2x + 3) + 2 Reorder the terms: -16 + 7x = 5(2x + 3) + 2 Reorder the terms: -16 + 7x = 5(3 + 2x) + 2 -16 + 7x = (3 * 5 + 2x * 5) + 2 -16 + 7x = (15 + 10x) + 2 Reorder the terms: -16 + 7x = 15 + 2 + 10x Combine like terms: 15 + 2 = 17 -16 + 7x = 17 + 10x Solving -16 + 7x = 17 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -16 + 7x + -10x = 17 + 10x + -10x Combine like terms: 7x + -10x = -3x -16 + -3x = 17 + 10x + -10x Combine like terms: 10x + -10x = 0 -16 + -3x = 17 + 0 -16 + -3x = 17 Add '16' to each side of the equation. -16 + 16 + -3x = 17 + 16 Combine like terms: -16 + 16 = 0 0 + -3x = 17 + 16 -3x = 17 + 16 Combine like terms: 17 + 16 = 33 -3x = 33 Divide each side by '-3'. x = -11 Simplifying x = -11
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