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Simplifying 2(3x + -9) = 5 + -4(2x + -7) Reorder the terms: 2(-9 + 3x) = 5 + -4(2x + -7) (-9 * 2 + 3x * 2) = 5 + -4(2x + -7) (-18 + 6x) = 5 + -4(2x + -7) Reorder the terms: -18 + 6x = 5 + -4(-7 + 2x) -18 + 6x = 5 + (-7 * -4 + 2x * -4) -18 + 6x = 5 + (28 + -8x) Combine like terms: 5 + 28 = 33 -18 + 6x = 33 + -8x Solving -18 + 6x = 33 + -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. -18 + 6x + 8x = 33 + -8x + 8x Combine like terms: 6x + 8x = 14x -18 + 14x = 33 + -8x + 8x Combine like terms: -8x + 8x = 0 -18 + 14x = 33 + 0 -18 + 14x = 33 Add '18' to each side of the equation. -18 + 18 + 14x = 33 + 18 Combine like terms: -18 + 18 = 0 0 + 14x = 33 + 18 14x = 33 + 18 Combine like terms: 33 + 18 = 51 14x = 51 Divide each side by '14'. x = 3.642857143 Simplifying x = 3.642857143
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