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Simplifying 7(x + -3) = 2(3 + 8x) Reorder the terms: 7(-3 + x) = 2(3 + 8x) (-3 * 7 + x * 7) = 2(3 + 8x) (-21 + 7x) = 2(3 + 8x) -21 + 7x = (3 * 2 + 8x * 2) -21 + 7x = (6 + 16x) Solving -21 + 7x = 6 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -21 + 7x + -16x = 6 + 16x + -16x Combine like terms: 7x + -16x = -9x -21 + -9x = 6 + 16x + -16x Combine like terms: 16x + -16x = 0 -21 + -9x = 6 + 0 -21 + -9x = 6 Add '21' to each side of the equation. -21 + 21 + -9x = 6 + 21 Combine like terms: -21 + 21 = 0 0 + -9x = 6 + 21 -9x = 6 + 21 Combine like terms: 6 + 21 = 27 -9x = 27 Divide each side by '-9'. x = -3 Simplifying x = -3
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