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Simplifying 5(3x + 4) + -3(x + -6) = 4x + -60 + x Reorder the terms: 5(4 + 3x) + -3(x + -6) = 4x + -60 + x (4 * 5 + 3x * 5) + -3(x + -6) = 4x + -60 + x (20 + 15x) + -3(x + -6) = 4x + -60 + x Reorder the terms: 20 + 15x + -3(-6 + x) = 4x + -60 + x 20 + 15x + (-6 * -3 + x * -3) = 4x + -60 + x 20 + 15x + (18 + -3x) = 4x + -60 + x Reorder the terms: 20 + 18 + 15x + -3x = 4x + -60 + x Combine like terms: 20 + 18 = 38 38 + 15x + -3x = 4x + -60 + x Combine like terms: 15x + -3x = 12x 38 + 12x = 4x + -60 + x Reorder the terms: 38 + 12x = -60 + 4x + x Combine like terms: 4x + x = 5x 38 + 12x = -60 + 5x Solving 38 + 12x = -60 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 38 + 12x + -5x = -60 + 5x + -5x Combine like terms: 12x + -5x = 7x 38 + 7x = -60 + 5x + -5x Combine like terms: 5x + -5x = 0 38 + 7x = -60 + 0 38 + 7x = -60 Add '-38' to each side of the equation. 38 + -38 + 7x = -60 + -38 Combine like terms: 38 + -38 = 0 0 + 7x = -60 + -38 7x = -60 + -38 Combine like terms: -60 + -38 = -98 7x = -98 Divide each side by '7'. x = -14 Simplifying x = -14
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