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Simplifying 50 = 3(x + 16) + -2(x + -2) Reorder the terms: 50 = 3(16 + x) + -2(x + -2) 50 = (16 * 3 + x * 3) + -2(x + -2) 50 = (48 + 3x) + -2(x + -2) Reorder the terms: 50 = 48 + 3x + -2(-2 + x) 50 = 48 + 3x + (-2 * -2 + x * -2) 50 = 48 + 3x + (4 + -2x) Reorder the terms: 50 = 48 + 4 + 3x + -2x Combine like terms: 48 + 4 = 52 50 = 52 + 3x + -2x Combine like terms: 3x + -2x = 1x 50 = 52 + 1x Solving 50 = 52 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 50 + -1x = 52 + 1x + -1x Combine like terms: 1x + -1x = 0 50 + -1x = 52 + 0 50 + -1x = 52 Add '-50' to each side of the equation. 50 + -50 + -1x = 52 + -50 Combine like terms: 50 + -50 = 0 0 + -1x = 52 + -50 -1x = 52 + -50 Combine like terms: 52 + -50 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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