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Simplifying 8(3x + -3) + -7x + -5(12 + -3x) = 13x + -8 Reorder the terms: 8(-3 + 3x) + -7x + -5(12 + -3x) = 13x + -8 (-3 * 8 + 3x * 8) + -7x + -5(12 + -3x) = 13x + -8 (-24 + 24x) + -7x + -5(12 + -3x) = 13x + -8 -24 + 24x + -7x + (12 * -5 + -3x * -5) = 13x + -8 -24 + 24x + -7x + (-60 + 15x) = 13x + -8 Reorder the terms: -24 + -60 + 24x + -7x + 15x = 13x + -8 Combine like terms: -24 + -60 = -84 -84 + 24x + -7x + 15x = 13x + -8 Combine like terms: 24x + -7x = 17x -84 + 17x + 15x = 13x + -8 Combine like terms: 17x + 15x = 32x -84 + 32x = 13x + -8 Reorder the terms: -84 + 32x = -8 + 13x Solving -84 + 32x = -8 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -84 + 32x + -13x = -8 + 13x + -13x Combine like terms: 32x + -13x = 19x -84 + 19x = -8 + 13x + -13x Combine like terms: 13x + -13x = 0 -84 + 19x = -8 + 0 -84 + 19x = -8 Add '84' to each side of the equation. -84 + 84 + 19x = -8 + 84 Combine like terms: -84 + 84 = 0 0 + 19x = -8 + 84 19x = -8 + 84 Combine like terms: -8 + 84 = 76 19x = 76 Divide each side by '19'. x = 4 Simplifying x = 4
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