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Simplifying -7(x + -3) = 2(4x + 3) Reorder the terms: -7(-3 + x) = 2(4x + 3) (-3 * -7 + x * -7) = 2(4x + 3) (21 + -7x) = 2(4x + 3) Reorder the terms: 21 + -7x = 2(3 + 4x) 21 + -7x = (3 * 2 + 4x * 2) 21 + -7x = (6 + 8x) Solving 21 + -7x = 6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 21 + -7x + -8x = 6 + 8x + -8x Combine like terms: -7x + -8x = -15x 21 + -15x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 21 + -15x = 6 + 0 21 + -15x = 6 Add '-21' to each side of the equation. 21 + -21 + -15x = 6 + -21 Combine like terms: 21 + -21 = 0 0 + -15x = 6 + -21 -15x = 6 + -21 Combine like terms: 6 + -21 = -15 -15x = -15 Divide each side by '-15'. x = 1 Simplifying x = 1
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