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Simplifying 8(3x + -2) + -13x = 5(12 + -3x) + 7x + -19 Reorder the terms: 8(-2 + 3x) + -13x = 5(12 + -3x) + 7x + -19 (-2 * 8 + 3x * 8) + -13x = 5(12 + -3x) + 7x + -19 (-16 + 24x) + -13x = 5(12 + -3x) + 7x + -19 Combine like terms: 24x + -13x = 11x -16 + 11x = 5(12 + -3x) + 7x + -19 -16 + 11x = (12 * 5 + -3x * 5) + 7x + -19 -16 + 11x = (60 + -15x) + 7x + -19 Reorder the terms: -16 + 11x = 60 + -19 + -15x + 7x Combine like terms: 60 + -19 = 41 -16 + 11x = 41 + -15x + 7x Combine like terms: -15x + 7x = -8x -16 + 11x = 41 + -8x Solving -16 + 11x = 41 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -16 + 11x + 8x = 41 + -8x + 8x Combine like terms: 11x + 8x = 19x -16 + 19x = 41 + -8x + 8x Combine like terms: -8x + 8x = 0 -16 + 19x = 41 + 0 -16 + 19x = 41 Add '16' to each side of the equation. -16 + 16 + 19x = 41 + 16 Combine like terms: -16 + 16 = 0 0 + 19x = 41 + 16 19x = 41 + 16 Combine like terms: 41 + 16 = 57 19x = 57 Divide each side by '19'. x = 3 Simplifying x = 3
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