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Simplifying 2(4.5x + 3) = -5(3x + -1.3) Reorder the terms: 2(3 + 4.5x) = -5(3x + -1.3) (3 * 2 + 4.5x * 2) = -5(3x + -1.3) (6 + 9x) = -5(3x + -1.3) Reorder the terms: 6 + 9x = -5(-1.3 + 3x) 6 + 9x = (-1.3 * -5 + 3x * -5) 6 + 9x = (6.5 + -15x) Solving 6 + 9x = 6.5 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 6 + 9x + 15x = 6.5 + -15x + 15x Combine like terms: 9x + 15x = 24x 6 + 24x = 6.5 + -15x + 15x Combine like terms: -15x + 15x = 0 6 + 24x = 6.5 + 0 6 + 24x = 6.5 Add '-6' to each side of the equation. 6 + -6 + 24x = 6.5 + -6 Combine like terms: 6 + -6 = 0 0 + 24x = 6.5 + -6 24x = 6.5 + -6 Combine like terms: 6.5 + -6 = 0.5 24x = 0.5 Divide each side by '24'. x = 0.02083333333 Simplifying x = 0.02083333333
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