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Simplifying 8(x + -2) = 2(3x + -1) Reorder the terms: 8(-2 + x) = 2(3x + -1) (-2 * 8 + x * 8) = 2(3x + -1) (-16 + 8x) = 2(3x + -1) Reorder the terms: -16 + 8x = 2(-1 + 3x) -16 + 8x = (-1 * 2 + 3x * 2) -16 + 8x = (-2 + 6x) Solving -16 + 8x = -2 + 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. -16 + 8x + -6x = -2 + 6x + -6x Combine like terms: 8x + -6x = 2x -16 + 2x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 -16 + 2x = -2 + 0 -16 + 2x = -2 Add '16' to each side of the equation. -16 + 16 + 2x = -2 + 16 Combine like terms: -16 + 16 = 0 0 + 2x = -2 + 16 2x = -2 + 16 Combine like terms: -2 + 16 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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