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Simplifying 19x + -1(3x + 12) = 160 + -1(4x + -8) Reorder the terms: 19x + -1(12 + 3x) = 160 + -1(4x + -8) 19x + (12 * -1 + 3x * -1) = 160 + -1(4x + -8) 19x + (-12 + -3x) = 160 + -1(4x + -8) Reorder the terms: -12 + 19x + -3x = 160 + -1(4x + -8) Combine like terms: 19x + -3x = 16x -12 + 16x = 160 + -1(4x + -8) Reorder the terms: -12 + 16x = 160 + -1(-8 + 4x) -12 + 16x = 160 + (-8 * -1 + 4x * -1) -12 + 16x = 160 + (8 + -4x) Combine like terms: 160 + 8 = 168 -12 + 16x = 168 + -4x Solving -12 + 16x = 168 + -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. -12 + 16x + 4x = 168 + -4x + 4x Combine like terms: 16x + 4x = 20x -12 + 20x = 168 + -4x + 4x Combine like terms: -4x + 4x = 0 -12 + 20x = 168 + 0 -12 + 20x = 168 Add '12' to each side of the equation. -12 + 12 + 20x = 168 + 12 Combine like terms: -12 + 12 = 0 0 + 20x = 168 + 12 20x = 168 + 12 Combine like terms: 168 + 12 = 180 20x = 180 Divide each side by '20'. x = 9 Simplifying x = 9
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