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Simplifying 3(-3x + -7) = 5(3x + 1) Reorder the terms: 3(-7 + -3x) = 5(3x + 1) (-7 * 3 + -3x * 3) = 5(3x + 1) (-21 + -9x) = 5(3x + 1) Reorder the terms: -21 + -9x = 5(1 + 3x) -21 + -9x = (1 * 5 + 3x * 5) -21 + -9x = (5 + 15x) Solving -21 + -9x = 5 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -21 + -9x + -15x = 5 + 15x + -15x Combine like terms: -9x + -15x = -24x -21 + -24x = 5 + 15x + -15x Combine like terms: 15x + -15x = 0 -21 + -24x = 5 + 0 -21 + -24x = 5 Add '21' to each side of the equation. -21 + 21 + -24x = 5 + 21 Combine like terms: -21 + 21 = 0 0 + -24x = 5 + 21 -24x = 5 + 21 Combine like terms: 5 + 21 = 26 -24x = 26 Divide each side by '-24'. x = -1.083333333 Simplifying x = -1.083333333
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