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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 = -16 -24x = -16 Divide each side by '-24'. x = 0.6666666667 Simplifying x = 0.6666666667
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