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Simplifying 1000 = 2(3x + -10) + 2x Reorder the terms: 1000 = 2(-10 + 3x) + 2x 1000 = (-10 * 2 + 3x * 2) + 2x 1000 = (-20 + 6x) + 2x Combine like terms: 6x + 2x = 8x 1000 = -20 + 8x Solving 1000 = -20 + 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. 1000 + -8x = -20 + 8x + -8x Combine like terms: 8x + -8x = 0 1000 + -8x = -20 + 0 1000 + -8x = -20 Add '-1000' to each side of the equation. 1000 + -1000 + -8x = -20 + -1000 Combine like terms: 1000 + -1000 = 0 0 + -8x = -20 + -1000 -8x = -20 + -1000 Combine like terms: -20 + -1000 = -1020 -8x = -1020 Divide each side by '-8'. x = 127.5 Simplifying x = 127.5
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