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Simplifying 3(2x + -4) + 4x = 5 + -2x + 19 Reorder the terms: 3(-4 + 2x) + 4x = 5 + -2x + 19 (-4 * 3 + 2x * 3) + 4x = 5 + -2x + 19 (-12 + 6x) + 4x = 5 + -2x + 19 Combine like terms: 6x + 4x = 10x -12 + 10x = 5 + -2x + 19 Reorder the terms: -12 + 10x = 5 + 19 + -2x Combine like terms: 5 + 19 = 24 -12 + 10x = 24 + -2x Solving -12 + 10x = 24 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -12 + 10x + 2x = 24 + -2x + 2x Combine like terms: 10x + 2x = 12x -12 + 12x = 24 + -2x + 2x Combine like terms: -2x + 2x = 0 -12 + 12x = 24 + 0 -12 + 12x = 24 Add '12' to each side of the equation. -12 + 12 + 12x = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 12x = 24 + 12 12x = 24 + 12 Combine like terms: 24 + 12 = 36 12x = 36 Divide each side by '12'. x = 3 Simplifying x = 3
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