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Simplifying 3 + 3(3x + -6) = 7 + -3(2x + 1) Reorder the terms: 3 + 3(-6 + 3x) = 7 + -3(2x + 1) 3 + (-6 * 3 + 3x * 3) = 7 + -3(2x + 1) 3 + (-18 + 9x) = 7 + -3(2x + 1) Combine like terms: 3 + -18 = -15 -15 + 9x = 7 + -3(2x + 1) Reorder the terms: -15 + 9x = 7 + -3(1 + 2x) -15 + 9x = 7 + (1 * -3 + 2x * -3) -15 + 9x = 7 + (-3 + -6x) Combine like terms: 7 + -3 = 4 -15 + 9x = 4 + -6x Solving -15 + 9x = 4 + -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. -15 + 9x + 6x = 4 + -6x + 6x Combine like terms: 9x + 6x = 15x -15 + 15x = 4 + -6x + 6x Combine like terms: -6x + 6x = 0 -15 + 15x = 4 + 0 -15 + 15x = 4 Add '15' to each side of the equation. -15 + 15 + 15x = 4 + 15 Combine like terms: -15 + 15 = 0 0 + 15x = 4 + 15 15x = 4 + 15 Combine like terms: 4 + 15 = 19 15x = 19 Divide each side by '15'. x = 1.266666667 Simplifying x = 1.266666667
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