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Simplifying 8(3x + -2) + -13x = 5(12 + -3x) + 7 Reorder the terms: 8(-2 + 3x) + -13x = 5(12 + -3x) + 7 (-2 * 8 + 3x * 8) + -13x = 5(12 + -3x) + 7 (-16 + 24x) + -13x = 5(12 + -3x) + 7 Combine like terms: 24x + -13x = 11x -16 + 11x = 5(12 + -3x) + 7 -16 + 11x = (12 * 5 + -3x * 5) + 7 -16 + 11x = (60 + -15x) + 7 Reorder the terms: -16 + 11x = 60 + 7 + -15x Combine like terms: 60 + 7 = 67 -16 + 11x = 67 + -15x Solving -16 + 11x = 67 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -16 + 11x + 15x = 67 + -15x + 15x Combine like terms: 11x + 15x = 26x -16 + 26x = 67 + -15x + 15x Combine like terms: -15x + 15x = 0 -16 + 26x = 67 + 0 -16 + 26x = 67 Add '16' to each side of the equation. -16 + 16 + 26x = 67 + 16 Combine like terms: -16 + 16 = 0 0 + 26x = 67 + 16 26x = 67 + 16 Combine like terms: 67 + 16 = 83 26x = 83 Divide each side by '26'. x = 3.192307692 Simplifying x = 3.192307692
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