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Simplifying 3x + -2(3x + -9) = 4(2x + -7) + 8x Reorder the terms: 3x + -2(-9 + 3x) = 4(2x + -7) + 8x 3x + (-9 * -2 + 3x * -2) = 4(2x + -7) + 8x 3x + (18 + -6x) = 4(2x + -7) + 8x Reorder the terms: 18 + 3x + -6x = 4(2x + -7) + 8x Combine like terms: 3x + -6x = -3x 18 + -3x = 4(2x + -7) + 8x Reorder the terms: 18 + -3x = 4(-7 + 2x) + 8x 18 + -3x = (-7 * 4 + 2x * 4) + 8x 18 + -3x = (-28 + 8x) + 8x Combine like terms: 8x + 8x = 16x 18 + -3x = -28 + 16x Solving 18 + -3x = -28 + 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. 18 + -3x + -16x = -28 + 16x + -16x Combine like terms: -3x + -16x = -19x 18 + -19x = -28 + 16x + -16x Combine like terms: 16x + -16x = 0 18 + -19x = -28 + 0 18 + -19x = -28 Add '-18' to each side of the equation. 18 + -18 + -19x = -28 + -18 Combine like terms: 18 + -18 = 0 0 + -19x = -28 + -18 -19x = -28 + -18 Combine like terms: -28 + -18 = -46 -19x = -46 Divide each side by '-19'. x = 2.421052632 Simplifying x = 2.421052632
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