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Simplifying 7(2x + -3) = 4(2x + 9) Reorder the terms: 7(-3 + 2x) = 4(2x + 9) (-3 * 7 + 2x * 7) = 4(2x + 9) (-21 + 14x) = 4(2x + 9) Reorder the terms: -21 + 14x = 4(9 + 2x) -21 + 14x = (9 * 4 + 2x * 4) -21 + 14x = (36 + 8x) Solving -21 + 14x = 36 + 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 + 14x + -8x = 36 + 8x + -8x Combine like terms: 14x + -8x = 6x -21 + 6x = 36 + 8x + -8x Combine like terms: 8x + -8x = 0 -21 + 6x = 36 + 0 -21 + 6x = 36 Add '21' to each side of the equation. -21 + 21 + 6x = 36 + 21 Combine like terms: -21 + 21 = 0 0 + 6x = 36 + 21 6x = 36 + 21 Combine like terms: 36 + 21 = 57 6x = 57 Divide each side by '6'. x = 9.5 Simplifying x = 9.5
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