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Simplifying 8(3x + -2) + -5(12 + -3x) = 13x + 7x Reorder the terms: 8(-2 + 3x) + -5(12 + -3x) = 13x + 7x (-2 * 8 + 3x * 8) + -5(12 + -3x) = 13x + 7x (-16 + 24x) + -5(12 + -3x) = 13x + 7x -16 + 24x + (12 * -5 + -3x * -5) = 13x + 7x -16 + 24x + (-60 + 15x) = 13x + 7x Reorder the terms: -16 + -60 + 24x + 15x = 13x + 7x Combine like terms: -16 + -60 = -76 -76 + 24x + 15x = 13x + 7x Combine like terms: 24x + 15x = 39x -76 + 39x = 13x + 7x Combine like terms: 13x + 7x = 20x -76 + 39x = 20x Solving -76 + 39x = 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -76 + 39x + -20x = 20x + -20x Combine like terms: 39x + -20x = 19x -76 + 19x = 20x + -20x Combine like terms: 20x + -20x = 0 -76 + 19x = 0 Add '76' to each side of the equation. -76 + 76 + 19x = 0 + 76 Combine like terms: -76 + 76 = 0 0 + 19x = 0 + 76 19x = 0 + 76 Combine like terms: 0 + 76 = 76 19x = 76 Divide each side by '19'. x = 4 Simplifying x = 4
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