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Simplifying 7x + -3(4x + -5) = 2(2x + 9) + 3 Reorder the terms: 7x + -3(-5 + 4x) = 2(2x + 9) + 3 7x + (-5 * -3 + 4x * -3) = 2(2x + 9) + 3 7x + (15 + -12x) = 2(2x + 9) + 3 Reorder the terms: 15 + 7x + -12x = 2(2x + 9) + 3 Combine like terms: 7x + -12x = -5x 15 + -5x = 2(2x + 9) + 3 Reorder the terms: 15 + -5x = 2(9 + 2x) + 3 15 + -5x = (9 * 2 + 2x * 2) + 3 15 + -5x = (18 + 4x) + 3 Reorder the terms: 15 + -5x = 18 + 3 + 4x Combine like terms: 18 + 3 = 21 15 + -5x = 21 + 4x Solving 15 + -5x = 21 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 15 + -5x + -4x = 21 + 4x + -4x Combine like terms: -5x + -4x = -9x 15 + -9x = 21 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + -9x = 21 + 0 15 + -9x = 21 Add '-15' to each side of the equation. 15 + -15 + -9x = 21 + -15 Combine like terms: 15 + -15 = 0 0 + -9x = 21 + -15 -9x = 21 + -15 Combine like terms: 21 + -15 = 6 -9x = 6 Divide each side by '-9'. x = -0.6666666667 Simplifying x = -0.6666666667
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