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Simplifying 2(4x + -15) = 2(3x + 7) Reorder the terms: 2(-15 + 4x) = 2(3x + 7) (-15 * 2 + 4x * 2) = 2(3x + 7) (-30 + 8x) = 2(3x + 7) Reorder the terms: -30 + 8x = 2(7 + 3x) -30 + 8x = (7 * 2 + 3x * 2) -30 + 8x = (14 + 6x) Solving -30 + 8x = 14 + 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. -30 + 8x + -6x = 14 + 6x + -6x Combine like terms: 8x + -6x = 2x -30 + 2x = 14 + 6x + -6x Combine like terms: 6x + -6x = 0 -30 + 2x = 14 + 0 -30 + 2x = 14 Add '30' to each side of the equation. -30 + 30 + 2x = 14 + 30 Combine like terms: -30 + 30 = 0 0 + 2x = 14 + 30 2x = 14 + 30 Combine like terms: 14 + 30 = 44 2x = 44 Divide each side by '2'. x = 22 Simplifying x = 22
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