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Simplifying 3(5x + -4) = 7x + -12 Reorder the terms: 3(-4 + 5x) = 7x + -12 (-4 * 3 + 5x * 3) = 7x + -12 (-12 + 15x) = 7x + -12 Reorder the terms: -12 + 15x = -12 + 7x Add '12' to each side of the equation. -12 + 12 + 15x = -12 + 12 + 7x Combine like terms: -12 + 12 = 0 0 + 15x = -12 + 12 + 7x 15x = -12 + 12 + 7x Combine like terms: -12 + 12 = 0 15x = 0 + 7x 15x = 7x Solving 15x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 15x + -7x = 7x + -7x Combine like terms: 15x + -7x = 8x 8x = 7x + -7x Combine like terms: 7x + -7x = 0 8x = 0 Divide each side by '8'. x = 0 Simplifying x = 0
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