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Simplifying -10(x + 1) + 2x = 3(2x + 1) + 1 Reorder the terms: -10(1 + x) + 2x = 3(2x + 1) + 1 (1 * -10 + x * -10) + 2x = 3(2x + 1) + 1 (-10 + -10x) + 2x = 3(2x + 1) + 1 Combine like terms: -10x + 2x = -8x -10 + -8x = 3(2x + 1) + 1 Reorder the terms: -10 + -8x = 3(1 + 2x) + 1 -10 + -8x = (1 * 3 + 2x * 3) + 1 -10 + -8x = (3 + 6x) + 1 Reorder the terms: -10 + -8x = 3 + 1 + 6x Combine like terms: 3 + 1 = 4 -10 + -8x = 4 + 6x Solving -10 + -8x = 4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -10 + -8x + -6x = 4 + 6x + -6x Combine like terms: -8x + -6x = -14x -10 + -14x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 + -14x = 4 + 0 -10 + -14x = 4 Add '10' to each side of the equation. -10 + 10 + -14x = 4 + 10 Combine like terms: -10 + 10 = 0 0 + -14x = 4 + 10 -14x = 4 + 10 Combine like terms: 4 + 10 = 14 -14x = 14 Divide each side by '-14'. x = -1 Simplifying x = -1
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