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Simplifying 4 + 3(3x + -5) = 8 + -3(2x + 1) Reorder the terms: 4 + 3(-5 + 3x) = 8 + -3(2x + 1) 4 + (-5 * 3 + 3x * 3) = 8 + -3(2x + 1) 4 + (-15 + 9x) = 8 + -3(2x + 1) Combine like terms: 4 + -15 = -11 -11 + 9x = 8 + -3(2x + 1) Reorder the terms: -11 + 9x = 8 + -3(1 + 2x) -11 + 9x = 8 + (1 * -3 + 2x * -3) -11 + 9x = 8 + (-3 + -6x) Combine like terms: 8 + -3 = 5 -11 + 9x = 5 + -6x Solving -11 + 9x = 5 + -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. -11 + 9x + 6x = 5 + -6x + 6x Combine like terms: 9x + 6x = 15x -11 + 15x = 5 + -6x + 6x Combine like terms: -6x + 6x = 0 -11 + 15x = 5 + 0 -11 + 15x = 5 Add '11' to each side of the equation. -11 + 11 + 15x = 5 + 11 Combine like terms: -11 + 11 = 0 0 + 15x = 5 + 11 15x = 5 + 11 Combine like terms: 5 + 11 = 16 15x = 16 Divide each side by '15'. x = 1.066666667 Simplifying x = 1.066666667
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