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Simplifying 7.5(4x + 4) + -6(2.5x + 1.5) = 0 Reorder the terms: 7.5(4 + 4x) + -6(2.5x + 1.5) = 0 (4 * 7.5 + 4x * 7.5) + -6(2.5x + 1.5) = 0 (30 + 30x) + -6(2.5x + 1.5) = 0 Reorder the terms: 30 + 30x + -6(1.5 + 2.5x) = 0 30 + 30x + (1.5 * -6 + 2.5x * -6) = 0 30 + 30x + (-9 + -15x) = 0 Reorder the terms: 30 + -9 + 30x + -15x = 0 Combine like terms: 30 + -9 = 21 21 + 30x + -15x = 0 Combine like terms: 30x + -15x = 15x 21 + 15x = 0 Solving 21 + 15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 15x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 15x = 0 + -21 15x = 0 + -21 Combine like terms: 0 + -21 = -21 15x = -21 Divide each side by '15'. x = -1.4 Simplifying x = -1.4
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