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Simplifying 3(5x + -4) = 2(7x) Reorder the terms: 3(-4 + 5x) = 2(7x) (-4 * 3 + 5x * 3) = 2(7x) (-12 + 15x) = 2(7x) Remove parenthesis around (7x) -12 + 15x = 2 * 7x Multiply 2 * 7 -12 + 15x = 14x Solving -12 + 15x = 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -12 + 15x + -14x = 14x + -14x Combine like terms: 15x + -14x = 1x -12 + 1x = 14x + -14x Combine like terms: 14x + -14x = 0 -12 + 1x = 0 Add '12' to each side of the equation. -12 + 12 + 1x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = 0 + 12 1x = 0 + 12 Combine like terms: 0 + 12 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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