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Simplifying 200 = 2(x + 1) + 2(3x + -5) Reorder the terms: 200 = 2(1 + x) + 2(3x + -5) 200 = (1 * 2 + x * 2) + 2(3x + -5) 200 = (2 + 2x) + 2(3x + -5) Reorder the terms: 200 = 2 + 2x + 2(-5 + 3x) 200 = 2 + 2x + (-5 * 2 + 3x * 2) 200 = 2 + 2x + (-10 + 6x) Reorder the terms: 200 = 2 + -10 + 2x + 6x Combine like terms: 2 + -10 = -8 200 = -8 + 2x + 6x Combine like terms: 2x + 6x = 8x 200 = -8 + 8x Solving 200 = -8 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 200 + -8x = -8 + 8x + -8x Combine like terms: 8x + -8x = 0 200 + -8x = -8 + 0 200 + -8x = -8 Add '-200' to each side of the equation. 200 + -200 + -8x = -8 + -200 Combine like terms: 200 + -200 = 0 0 + -8x = -8 + -200 -8x = -8 + -200 Combine like terms: -8 + -200 = -208 -8x = -208 Divide each side by '-8'. x = 26 Simplifying x = 26
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