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Simplifying -5(3x + 6) = -3(3x + -4) Reorder the terms: -5(6 + 3x) = -3(3x + -4) (6 * -5 + 3x * -5) = -3(3x + -4) (-30 + -15x) = -3(3x + -4) Reorder the terms: -30 + -15x = -3(-4 + 3x) -30 + -15x = (-4 * -3 + 3x * -3) -30 + -15x = (12 + -9x) Solving -30 + -15x = 12 + -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. -30 + -15x + 9x = 12 + -9x + 9x Combine like terms: -15x + 9x = -6x -30 + -6x = 12 + -9x + 9x Combine like terms: -9x + 9x = 0 -30 + -6x = 12 + 0 -30 + -6x = 12 Add '30' to each side of the equation. -30 + 30 + -6x = 12 + 30 Combine like terms: -30 + 30 = 0 0 + -6x = 12 + 30 -6x = 12 + 30 Combine like terms: 12 + 30 = 42 -6x = 42 Divide each side by '-6'. x = -7 Simplifying x = -7
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