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Simplifying 5(2x + -3) = 7(x + -2) + 16 Reorder the terms: 5(-3 + 2x) = 7(x + -2) + 16 (-3 * 5 + 2x * 5) = 7(x + -2) + 16 (-15 + 10x) = 7(x + -2) + 16 Reorder the terms: -15 + 10x = 7(-2 + x) + 16 -15 + 10x = (-2 * 7 + x * 7) + 16 -15 + 10x = (-14 + 7x) + 16 Reorder the terms: -15 + 10x = -14 + 16 + 7x Combine like terms: -14 + 16 = 2 -15 + 10x = 2 + 7x Solving -15 + 10x = 2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -15 + 10x + -7x = 2 + 7x + -7x Combine like terms: 10x + -7x = 3x -15 + 3x = 2 + 7x + -7x Combine like terms: 7x + -7x = 0 -15 + 3x = 2 + 0 -15 + 3x = 2 Add '15' to each side of the equation. -15 + 15 + 3x = 2 + 15 Combine like terms: -15 + 15 = 0 0 + 3x = 2 + 15 3x = 2 + 15 Combine like terms: 2 + 15 = 17 3x = 17 Divide each side by '3'. x = 5.666666667 Simplifying x = 5.666666667
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