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Simplifying 4(2x + 9) + 2x = 6 + 3(6x + -3) Reorder the terms: 4(9 + 2x) + 2x = 6 + 3(6x + -3) (9 * 4 + 2x * 4) + 2x = 6 + 3(6x + -3) (36 + 8x) + 2x = 6 + 3(6x + -3) Combine like terms: 8x + 2x = 10x 36 + 10x = 6 + 3(6x + -3) Reorder the terms: 36 + 10x = 6 + 3(-3 + 6x) 36 + 10x = 6 + (-3 * 3 + 6x * 3) 36 + 10x = 6 + (-9 + 18x) Combine like terms: 6 + -9 = -3 36 + 10x = -3 + 18x Solving 36 + 10x = -3 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 36 + 10x + -18x = -3 + 18x + -18x Combine like terms: 10x + -18x = -8x 36 + -8x = -3 + 18x + -18x Combine like terms: 18x + -18x = 0 36 + -8x = -3 + 0 36 + -8x = -3 Add '-36' to each side of the equation. 36 + -36 + -8x = -3 + -36 Combine like terms: 36 + -36 = 0 0 + -8x = -3 + -36 -8x = -3 + -36 Combine like terms: -3 + -36 = -39 -8x = -39 Divide each side by '-8'. x = 4.875 Simplifying x = 4.875
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