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Simplifying 3(X + -7) + -16 = 2(5X + 1) + -4 Reorder the terms: 3(-7 + X) + -16 = 2(5X + 1) + -4 (-7 * 3 + X * 3) + -16 = 2(5X + 1) + -4 (-21 + 3X) + -16 = 2(5X + 1) + -4 Reorder the terms: -21 + -16 + 3X = 2(5X + 1) + -4 Combine like terms: -21 + -16 = -37 -37 + 3X = 2(5X + 1) + -4 Reorder the terms: -37 + 3X = 2(1 + 5X) + -4 -37 + 3X = (1 * 2 + 5X * 2) + -4 -37 + 3X = (2 + 10X) + -4 Reorder the terms: -37 + 3X = 2 + -4 + 10X Combine like terms: 2 + -4 = -2 -37 + 3X = -2 + 10X Solving -37 + 3X = -2 + 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. -37 + 3X + -10X = -2 + 10X + -10X Combine like terms: 3X + -10X = -7X -37 + -7X = -2 + 10X + -10X Combine like terms: 10X + -10X = 0 -37 + -7X = -2 + 0 -37 + -7X = -2 Add '37' to each side of the equation. -37 + 37 + -7X = -2 + 37 Combine like terms: -37 + 37 = 0 0 + -7X = -2 + 37 -7X = -2 + 37 Combine like terms: -2 + 37 = 35 -7X = 35 Divide each side by '-7'. X = -5 Simplifying X = -5
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