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Simplifying 8(3x + -2) + -7x = 13x + 5(12 + -3x) Reorder the terms: 8(-2 + 3x) + -7x = 13x + 5(12 + -3x) (-2 * 8 + 3x * 8) + -7x = 13x + 5(12 + -3x) (-16 + 24x) + -7x = 13x + 5(12 + -3x) Combine like terms: 24x + -7x = 17x -16 + 17x = 13x + 5(12 + -3x) -16 + 17x = 13x + (12 * 5 + -3x * 5) -16 + 17x = 13x + (60 + -15x) Reorder the terms: -16 + 17x = 60 + 13x + -15x Combine like terms: 13x + -15x = -2x -16 + 17x = 60 + -2x Solving -16 + 17x = 60 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -16 + 17x + 2x = 60 + -2x + 2x Combine like terms: 17x + 2x = 19x -16 + 19x = 60 + -2x + 2x Combine like terms: -2x + 2x = 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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