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Simplifying 2x + (6x + -3) + -1(7x + -2) = 154 Reorder the terms: 2x + (-3 + 6x) + -1(7x + -2) = 154 Remove parenthesis around (-3 + 6x) 2x + -3 + 6x + -1(7x + -2) = 154 Reorder the terms: 2x + -3 + 6x + -1(-2 + 7x) = 154 2x + -3 + 6x + (-2 * -1 + 7x * -1) = 154 2x + -3 + 6x + (2 + -7x) = 154 Reorder the terms: -3 + 2 + 2x + 6x + -7x = 154 Combine like terms: -3 + 2 = -1 -1 + 2x + 6x + -7x = 154 Combine like terms: 2x + 6x = 8x -1 + 8x + -7x = 154 Combine like terms: 8x + -7x = 1x -1 + 1x = 154 Solving -1 + 1x = 154 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 1x = 154 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 154 + 1 1x = 154 + 1 Combine like terms: 154 + 1 = 155 1x = 155 Divide each side by '1'. x = 155 Simplifying x = 155
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