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Simplifying 13x + -8(3x + -2) = -7x + -5(12 + -3x) Reorder the terms: 13x + -8(-2 + 3x) = -7x + -5(12 + -3x) 13x + (-2 * -8 + 3x * -8) = -7x + -5(12 + -3x) 13x + (16 + -24x) = -7x + -5(12 + -3x) Reorder the terms: 16 + 13x + -24x = -7x + -5(12 + -3x) Combine like terms: 13x + -24x = -11x 16 + -11x = -7x + -5(12 + -3x) 16 + -11x = -7x + (12 * -5 + -3x * -5) 16 + -11x = -7x + (-60 + 15x) Reorder the terms: 16 + -11x = -60 + -7x + 15x Combine like terms: -7x + 15x = 8x 16 + -11x = -60 + 8x Solving 16 + -11x = -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 + -11x + -8x = -60 + 8x + -8x Combine like terms: -11x + -8x = -19x 16 + -19x = -60 + 8x + -8x Combine like terms: 8x + -8x = 0 16 + -19x = -60 + 0 16 + -19x = -60 Add '-16' to each side of the equation. 16 + -16 + -19x = -60 + -16 Combine like terms: 16 + -16 = 0 0 + -19x = -60 + -16 -19x = -60 + -16 Combine like terms: -60 + -16 = -76 -19x = -76 Divide each side by '-19'. x = 4 Simplifying x = 4
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