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Simplifying 5(4x + 3) + 3(3x + -3) = 3x + -98 Reorder the terms: 5(3 + 4x) + 3(3x + -3) = 3x + -98 (3 * 5 + 4x * 5) + 3(3x + -3) = 3x + -98 (15 + 20x) + 3(3x + -3) = 3x + -98 Reorder the terms: 15 + 20x + 3(-3 + 3x) = 3x + -98 15 + 20x + (-3 * 3 + 3x * 3) = 3x + -98 15 + 20x + (-9 + 9x) = 3x + -98 Reorder the terms: 15 + -9 + 20x + 9x = 3x + -98 Combine like terms: 15 + -9 = 6 6 + 20x + 9x = 3x + -98 Combine like terms: 20x + 9x = 29x 6 + 29x = 3x + -98 Reorder the terms: 6 + 29x = -98 + 3x Solving 6 + 29x = -98 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6 + 29x + -3x = -98 + 3x + -3x Combine like terms: 29x + -3x = 26x 6 + 26x = -98 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + 26x = -98 + 0 6 + 26x = -98 Add '-6' to each side of the equation. 6 + -6 + 26x = -98 + -6 Combine like terms: 6 + -6 = 0 0 + 26x = -98 + -6 26x = -98 + -6 Combine like terms: -98 + -6 = -104 26x = -104 Divide each side by '26'. x = -4 Simplifying x = -4
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