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Simplifying 2(x + -2) + -1(3x + -8) = 3(4x + -1) + -19 Reorder the terms: 2(-2 + x) + -1(3x + -8) = 3(4x + -1) + -19 (-2 * 2 + x * 2) + -1(3x + -8) = 3(4x + -1) + -19 (-4 + 2x) + -1(3x + -8) = 3(4x + -1) + -19 Reorder the terms: -4 + 2x + -1(-8 + 3x) = 3(4x + -1) + -19 -4 + 2x + (-8 * -1 + 3x * -1) = 3(4x + -1) + -19 -4 + 2x + (8 + -3x) = 3(4x + -1) + -19 Reorder the terms: -4 + 8 + 2x + -3x = 3(4x + -1) + -19 Combine like terms: -4 + 8 = 4 4 + 2x + -3x = 3(4x + -1) + -19 Combine like terms: 2x + -3x = -1x 4 + -1x = 3(4x + -1) + -19 Reorder the terms: 4 + -1x = 3(-1 + 4x) + -19 4 + -1x = (-1 * 3 + 4x * 3) + -19 4 + -1x = (-3 + 12x) + -19 Reorder the terms: 4 + -1x = -3 + -19 + 12x Combine like terms: -3 + -19 = -22 4 + -1x = -22 + 12x Solving 4 + -1x = -22 + 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. 4 + -1x + -12x = -22 + 12x + -12x Combine like terms: -1x + -12x = -13x 4 + -13x = -22 + 12x + -12x Combine like terms: 12x + -12x = 0 4 + -13x = -22 + 0 4 + -13x = -22 Add '-4' to each side of the equation. 4 + -4 + -13x = -22 + -4 Combine like terms: 4 + -4 = 0 0 + -13x = -22 + -4 -13x = -22 + -4 Combine like terms: -22 + -4 = -26 -13x = -26 Divide each side by '-13'. x = 2 Simplifying x = 2
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