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Simplifying -1(8x + -2) + 3x = 7(2x + 3) Reorder the terms: -1(-2 + 8x) + 3x = 7(2x + 3) (-2 * -1 + 8x * -1) + 3x = 7(2x + 3) (2 + -8x) + 3x = 7(2x + 3) Combine like terms: -8x + 3x = -5x 2 + -5x = 7(2x + 3) Reorder the terms: 2 + -5x = 7(3 + 2x) 2 + -5x = (3 * 7 + 2x * 7) 2 + -5x = (21 + 14x) Solving 2 + -5x = 21 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 2 + -5x + -14x = 21 + 14x + -14x Combine like terms: -5x + -14x = -19x 2 + -19x = 21 + 14x + -14x Combine like terms: 14x + -14x = 0 2 + -19x = 21 + 0 2 + -19x = 21 Add '-2' to each side of the equation. 2 + -2 + -19x = 21 + -2 Combine like terms: 2 + -2 = 0 0 + -19x = 21 + -2 -19x = 21 + -2 Combine like terms: 21 + -2 = 19 -19x = 19 Divide each side by '-19'. x = -1 Simplifying x = -1
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