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Simplifying 9x + -7 = 3 + -2(3x + -15) Reorder the terms: -7 + 9x = 3 + -2(3x + -15) Reorder the terms: -7 + 9x = 3 + -2(-15 + 3x) -7 + 9x = 3 + (-15 * -2 + 3x * -2) -7 + 9x = 3 + (30 + -6x) Combine like terms: 3 + 30 = 33 -7 + 9x = 33 + -6x Solving -7 + 9x = 33 + -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. -7 + 9x + 6x = 33 + -6x + 6x Combine like terms: 9x + 6x = 15x -7 + 15x = 33 + -6x + 6x Combine like terms: -6x + 6x = 0 -7 + 15x = 33 + 0 -7 + 15x = 33 Add '7' to each side of the equation. -7 + 7 + 15x = 33 + 7 Combine like terms: -7 + 7 = 0 0 + 15x = 33 + 7 15x = 33 + 7 Combine like terms: 33 + 7 = 40 15x = 40 Divide each side by '15'. x = 2.666666667 Simplifying x = 2.666666667
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