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Simplifying 3 + -1(2x + -4) = 4x + 19 Reorder the terms: 3 + -1(-4 + 2x) = 4x + 19 3 + (-4 * -1 + 2x * -1) = 4x + 19 3 + (4 + -2x) = 4x + 19 Combine like terms: 3 + 4 = 7 7 + -2x = 4x + 19 Reorder the terms: 7 + -2x = 19 + 4x Solving 7 + -2x = 19 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 7 + -2x + -4x = 19 + 4x + -4x Combine like terms: -2x + -4x = -6x 7 + -6x = 19 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + -6x = 19 + 0 7 + -6x = 19 Add '-7' to each side of the equation. 7 + -7 + -6x = 19 + -7 Combine like terms: 7 + -7 = 0 0 + -6x = 19 + -7 -6x = 19 + -7 Combine like terms: 19 + -7 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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