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Simplifying 6x + 12(3x + -4) = 19 + 7x Reorder the terms: 6x + 12(-4 + 3x) = 19 + 7x 6x + (-4 * 12 + 3x * 12) = 19 + 7x 6x + (-48 + 36x) = 19 + 7x Reorder the terms: -48 + 6x + 36x = 19 + 7x Combine like terms: 6x + 36x = 42x -48 + 42x = 19 + 7x Solving -48 + 42x = 19 + 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. -48 + 42x + -7x = 19 + 7x + -7x Combine like terms: 42x + -7x = 35x -48 + 35x = 19 + 7x + -7x Combine like terms: 7x + -7x = 0 -48 + 35x = 19 + 0 -48 + 35x = 19 Add '48' to each side of the equation. -48 + 48 + 35x = 19 + 48 Combine like terms: -48 + 48 = 0 0 + 35x = 19 + 48 35x = 19 + 48 Combine like terms: 19 + 48 = 67 35x = 67 Divide each side by '35'. x = 1.914285714 Simplifying x = 1.914285714
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