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Simplifying 5(6x + -5) + -3(3x + -18) = 4(5x + 1) + -1 Reorder the terms: 5(-5 + 6x) + -3(3x + -18) = 4(5x + 1) + -1 (-5 * 5 + 6x * 5) + -3(3x + -18) = 4(5x + 1) + -1 (-25 + 30x) + -3(3x + -18) = 4(5x + 1) + -1 Reorder the terms: -25 + 30x + -3(-18 + 3x) = 4(5x + 1) + -1 -25 + 30x + (-18 * -3 + 3x * -3) = 4(5x + 1) + -1 -25 + 30x + (54 + -9x) = 4(5x + 1) + -1 Reorder the terms: -25 + 54 + 30x + -9x = 4(5x + 1) + -1 Combine like terms: -25 + 54 = 29 29 + 30x + -9x = 4(5x + 1) + -1 Combine like terms: 30x + -9x = 21x 29 + 21x = 4(5x + 1) + -1 Reorder the terms: 29 + 21x = 4(1 + 5x) + -1 29 + 21x = (1 * 4 + 5x * 4) + -1 29 + 21x = (4 + 20x) + -1 Reorder the terms: 29 + 21x = 4 + -1 + 20x Combine like terms: 4 + -1 = 3 29 + 21x = 3 + 20x Solving 29 + 21x = 3 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 29 + 21x + -20x = 3 + 20x + -20x Combine like terms: 21x + -20x = 1x 29 + 1x = 3 + 20x + -20x Combine like terms: 20x + -20x = 0 29 + 1x = 3 + 0 29 + 1x = 3 Add '-29' to each side of the equation. 29 + -29 + 1x = 3 + -29 Combine like terms: 29 + -29 = 0 0 + 1x = 3 + -29 1x = 3 + -29 Combine like terms: 3 + -29 = -26 1x = -26 Divide each side by '1'. x = -26 Simplifying x = -26
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