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Simplifying 2x + 3(5x + -2) = 6 + x Reorder the terms: 2x + 3(-2 + 5x) = 6 + x 2x + (-2 * 3 + 5x * 3) = 6 + x 2x + (-6 + 15x) = 6 + x Reorder the terms: -6 + 2x + 15x = 6 + x Combine like terms: 2x + 15x = 17x -6 + 17x = 6 + x Solving -6 + 17x = 6 + x 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. -6 + 17x + -1x = 6 + x + -1x Combine like terms: 17x + -1x = 16x -6 + 16x = 6 + x + -1x Combine like terms: x + -1x = 0 -6 + 16x = 6 + 0 -6 + 16x = 6 Add '6' to each side of the equation. -6 + 6 + 16x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 16x = 6 + 6 16x = 6 + 6 Combine like terms: 6 + 6 = 12 16x = 12 Divide each side by '16'. x = 0.75 Simplifying x = 0.75
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