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Simplifying -5(3x + 1) = 3(3x + -7) Reorder the terms: -5(1 + 3x) = 3(3x + -7) (1 * -5 + 3x * -5) = 3(3x + -7) (-5 + -15x) = 3(3x + -7) Reorder the terms: -5 + -15x = 3(-7 + 3x) -5 + -15x = (-7 * 3 + 3x * 3) -5 + -15x = (-21 + 9x) Solving -5 + -15x = -21 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -5 + -15x + -9x = -21 + 9x + -9x Combine like terms: -15x + -9x = -24x -5 + -24x = -21 + 9x + -9x Combine like terms: 9x + -9x = 0 -5 + -24x = -21 + 0 -5 + -24x = -21 Add '5' to each side of the equation. -5 + 5 + -24x = -21 + 5 Combine like terms: -5 + 5 = 0 0 + -24x = -21 + 5 -24x = -21 + 5 Combine like terms: -21 + 5 = -16 -24x = -16 Divide each side by '-24'. x = 0.6666666667 Simplifying x = 0.6666666667
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