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Simplifying 4x + -3(2x + -9) = 3(3x + -8) + 7x Reorder the terms: 4x + -3(-9 + 2x) = 3(3x + -8) + 7x 4x + (-9 * -3 + 2x * -3) = 3(3x + -8) + 7x 4x + (27 + -6x) = 3(3x + -8) + 7x Reorder the terms: 27 + 4x + -6x = 3(3x + -8) + 7x Combine like terms: 4x + -6x = -2x 27 + -2x = 3(3x + -8) + 7x Reorder the terms: 27 + -2x = 3(-8 + 3x) + 7x 27 + -2x = (-8 * 3 + 3x * 3) + 7x 27 + -2x = (-24 + 9x) + 7x Combine like terms: 9x + 7x = 16x 27 + -2x = -24 + 16x Solving 27 + -2x = -24 + 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. 27 + -2x + -16x = -24 + 16x + -16x Combine like terms: -2x + -16x = -18x 27 + -18x = -24 + 16x + -16x Combine like terms: 16x + -16x = 0 27 + -18x = -24 + 0 27 + -18x = -24 Add '-27' to each side of the equation. 27 + -27 + -18x = -24 + -27 Combine like terms: 27 + -27 = 0 0 + -18x = -24 + -27 -18x = -24 + -27 Combine like terms: -24 + -27 = -51 -18x = -51 Divide each side by '-18'. x = 2.833333333 Simplifying x = 2.833333333
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