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Simplifying 5 + 3(5x + -6) = 9 + -3(2x + 1) Reorder the terms: 5 + 3(-6 + 5x) = 9 + -3(2x + 1) 5 + (-6 * 3 + 5x * 3) = 9 + -3(2x + 1) 5 + (-18 + 15x) = 9 + -3(2x + 1) Combine like terms: 5 + -18 = -13 -13 + 15x = 9 + -3(2x + 1) Reorder the terms: -13 + 15x = 9 + -3(1 + 2x) -13 + 15x = 9 + (1 * -3 + 2x * -3) -13 + 15x = 9 + (-3 + -6x) Combine like terms: 9 + -3 = 6 -13 + 15x = 6 + -6x Solving -13 + 15x = 6 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -13 + 15x + 6x = 6 + -6x + 6x Combine like terms: 15x + 6x = 21x -13 + 21x = 6 + -6x + 6x Combine like terms: -6x + 6x = 0 -13 + 21x = 6 + 0 -13 + 21x = 6 Add '13' to each side of the equation. -13 + 13 + 21x = 6 + 13 Combine like terms: -13 + 13 = 0 0 + 21x = 6 + 13 21x = 6 + 13 Combine like terms: 6 + 13 = 19 21x = 19 Divide each side by '21'. x = 0.9047619048 Simplifying x = 0.9047619048
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