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Simplifying 45(2 + -1x) + -3(21x + -1) = 6(3x + -1) + 36 (2 * 45 + -1x * 45) + -3(21x + -1) = 6(3x + -1) + 36 (90 + -45x) + -3(21x + -1) = 6(3x + -1) + 36 Reorder the terms: 90 + -45x + -3(-1 + 21x) = 6(3x + -1) + 36 90 + -45x + (-1 * -3 + 21x * -3) = 6(3x + -1) + 36 90 + -45x + (3 + -63x) = 6(3x + -1) + 36 Reorder the terms: 90 + 3 + -45x + -63x = 6(3x + -1) + 36 Combine like terms: 90 + 3 = 93 93 + -45x + -63x = 6(3x + -1) + 36 Combine like terms: -45x + -63x = -108x 93 + -108x = 6(3x + -1) + 36 Reorder the terms: 93 + -108x = 6(-1 + 3x) + 36 93 + -108x = (-1 * 6 + 3x * 6) + 36 93 + -108x = (-6 + 18x) + 36 Reorder the terms: 93 + -108x = -6 + 36 + 18x Combine like terms: -6 + 36 = 30 93 + -108x = 30 + 18x Solving 93 + -108x = 30 + 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. 93 + -108x + -18x = 30 + 18x + -18x Combine like terms: -108x + -18x = -126x 93 + -126x = 30 + 18x + -18x Combine like terms: 18x + -18x = 0 93 + -126x = 30 + 0 93 + -126x = 30 Add '-93' to each side of the equation. 93 + -93 + -126x = 30 + -93 Combine like terms: 93 + -93 = 0 0 + -126x = 30 + -93 -126x = 30 + -93 Combine like terms: 30 + -93 = -63 -126x = -63 Divide each side by '-126'. x = 0.5 Simplifying x = 0.5
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