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Simplifying 7(x + -1x + 8 + 12) + 2x = 3x(2 + 5 + 10) Reorder the terms: 7(8 + 12 + x + -1x) + 2x = 3x(2 + 5 + 10) Combine like terms: 8 + 12 = 20 7(20 + x + -1x) + 2x = 3x(2 + 5 + 10) Combine like terms: x + -1x = 0 7(20 + 0) + 2x = 3x(2 + 5 + 10) 7(20) + 2x = 3x(2 + 5 + 10) Multiply 7 * 20 140 + 2x = 3x(2 + 5 + 10) Combine like terms: 2 + 5 = 7 140 + 2x = 3x(7 + 10) Combine like terms: 7 + 10 = 17 140 + 2x = 3x(17) Reorder the terms for easier multiplication: 140 + 2x = 3 * 17x Multiply 3 * 17 140 + 2x = 51x Solving 140 + 2x = 51x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-51x' to each side of the equation. 140 + 2x + -51x = 51x + -51x Combine like terms: 2x + -51x = -49x 140 + -49x = 51x + -51x Combine like terms: 51x + -51x = 0 140 + -49x = 0 Add '-140' to each side of the equation. 140 + -140 + -49x = 0 + -140 Combine like terms: 140 + -140 = 0 0 + -49x = 0 + -140 -49x = 0 + -140 Combine like terms: 0 + -140 = -140 -49x = -140 Divide each side by '-49'. x = 2.857142857 Simplifying x = 2.857142857
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