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Simplifying 7x + 1 + -2x = -3(6 + -2x) Reorder the terms: 1 + 7x + -2x = -3(6 + -2x) Combine like terms: 7x + -2x = 5x 1 + 5x = -3(6 + -2x) 1 + 5x = (6 * -3 + -2x * -3) 1 + 5x = (-18 + 6x) Solving 1 + 5x = -18 + 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. 1 + 5x + -6x = -18 + 6x + -6x Combine like terms: 5x + -6x = -1x 1 + -1x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 1 + -1x = -18 + 0 1 + -1x = -18 Add '-1' to each side of the equation. 1 + -1 + -1x = -18 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = -18 + -1 -1x = -18 + -1 Combine like terms: -18 + -1 = -19 -1x = -19 Divide each side by '-1'. x = 19 Simplifying x = 19
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