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Simplifying 16 + 2(x + 5) = 3x + -4(x + 3) Reorder the terms: 16 + 2(5 + x) = 3x + -4(x + 3) 16 + (5 * 2 + x * 2) = 3x + -4(x + 3) 16 + (10 + 2x) = 3x + -4(x + 3) Combine like terms: 16 + 10 = 26 26 + 2x = 3x + -4(x + 3) Reorder the terms: 26 + 2x = 3x + -4(3 + x) 26 + 2x = 3x + (3 * -4 + x * -4) 26 + 2x = 3x + (-12 + -4x) Reorder the terms: 26 + 2x = -12 + 3x + -4x Combine like terms: 3x + -4x = -1x 26 + 2x = -12 + -1x Solving 26 + 2x = -12 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 26 + 2x + x = -12 + -1x + x Combine like terms: 2x + x = 3x 26 + 3x = -12 + -1x + x Combine like terms: -1x + x = 0 26 + 3x = -12 + 0 26 + 3x = -12 Add '-26' to each side of the equation. 26 + -26 + 3x = -12 + -26 Combine like terms: 26 + -26 = 0 0 + 3x = -12 + -26 3x = -12 + -26 Combine like terms: -12 + -26 = -38 3x = -38 Divide each side by '3'. x = -12.66666667 Simplifying x = -12.66666667
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