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Simplifying 3(2x + -2) + -2(x + -4) = 19 Reorder the terms: 3(-2 + 2x) + -2(x + -4) = 19 (-2 * 3 + 2x * 3) + -2(x + -4) = 19 (-6 + 6x) + -2(x + -4) = 19 Reorder the terms: -6 + 6x + -2(-4 + x) = 19 -6 + 6x + (-4 * -2 + x * -2) = 19 -6 + 6x + (8 + -2x) = 19 Reorder the terms: -6 + 8 + 6x + -2x = 19 Combine like terms: -6 + 8 = 2 2 + 6x + -2x = 19 Combine like terms: 6x + -2x = 4x 2 + 4x = 19 Solving 2 + 4x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 4x = 19 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = 19 + -2 4x = 19 + -2 Combine like terms: 19 + -2 = 17 4x = 17 Divide each side by '4'. x = 4.25 Simplifying x = 4.25
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