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Simplifying 13x + -8(3y + -2) = -7x + -5(12 + -3x) Reorder the terms: 13x + -8(-2 + 3y) = -7x + -5(12 + -3x) 13x + (-2 * -8 + 3y * -8) = -7x + -5(12 + -3x) 13x + (16 + -24y) = -7x + -5(12 + -3x) Reorder the terms: 16 + 13x + -24y = -7x + -5(12 + -3x) 16 + 13x + -24y = -7x + (12 * -5 + -3x * -5) 16 + 13x + -24y = -7x + (-60 + 15x) Reorder the terms: 16 + 13x + -24y = -60 + -7x + 15x Combine like terms: -7x + 15x = 8x 16 + 13x + -24y = -60 + 8x Solving 16 + 13x + -24y = -60 + 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 + 13x + -8x + -24y = -60 + 8x + -8x Combine like terms: 13x + -8x = 5x 16 + 5x + -24y = -60 + 8x + -8x Combine like terms: 8x + -8x = 0 16 + 5x + -24y = -60 + 0 16 + 5x + -24y = -60 Add '-16' to each side of the equation. 16 + 5x + -16 + -24y = -60 + -16 Reorder the terms: 16 + -16 + 5x + -24y = -60 + -16 Combine like terms: 16 + -16 = 0 0 + 5x + -24y = -60 + -16 5x + -24y = -60 + -16 Combine like terms: -60 + -16 = -76 5x + -24y = -76 Add '24y' to each side of the equation. 5x + -24y + 24y = -76 + 24y Combine like terms: -24y + 24y = 0 5x + 0 = -76 + 24y 5x = -76 + 24y Divide each side by '5'. x = -15.2 + 4.8y Simplifying x = -15.2 + 4.8y
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