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Simplifying 2(x + 19) + -1x = -3(4x + -4) Reorder the terms: 2(19 + x) + -1x = -3(4x + -4) (19 * 2 + x * 2) + -1x = -3(4x + -4) (38 + 2x) + -1x = -3(4x + -4) Combine like terms: 2x + -1x = 1x 38 + 1x = -3(4x + -4) Reorder the terms: 38 + 1x = -3(-4 + 4x) 38 + 1x = (-4 * -3 + 4x * -3) 38 + 1x = (12 + -12x) Solving 38 + 1x = 12 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 38 + 1x + 12x = 12 + -12x + 12x Combine like terms: 1x + 12x = 13x 38 + 13x = 12 + -12x + 12x Combine like terms: -12x + 12x = 0 38 + 13x = 12 + 0 38 + 13x = 12 Add '-38' to each side of the equation. 38 + -38 + 13x = 12 + -38 Combine like terms: 38 + -38 = 0 0 + 13x = 12 + -38 13x = 12 + -38 Combine like terms: 12 + -38 = -26 13x = -26 Divide each side by '13'. x = -2 Simplifying x = -2
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