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Simplifying 5(3x + 2) + 2(3x + -4) = 100 Reorder the terms: 5(2 + 3x) + 2(3x + -4) = 100 (2 * 5 + 3x * 5) + 2(3x + -4) = 100 (10 + 15x) + 2(3x + -4) = 100 Reorder the terms: 10 + 15x + 2(-4 + 3x) = 100 10 + 15x + (-4 * 2 + 3x * 2) = 100 10 + 15x + (-8 + 6x) = 100 Reorder the terms: 10 + -8 + 15x + 6x = 100 Combine like terms: 10 + -8 = 2 2 + 15x + 6x = 100 Combine like terms: 15x + 6x = 21x 2 + 21x = 100 Solving 2 + 21x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 21x = 100 + -2 Combine like terms: 2 + -2 = 0 0 + 21x = 100 + -2 21x = 100 + -2 Combine like terms: 100 + -2 = 98 21x = 98 Divide each side by '21'. x = 4.666666667 Simplifying x = 4.666666667
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