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Simplifying 4x + 15(7x + 3) = 9(1x + -5) Reorder the terms: 4x + 15(3 + 7x) = 9(1x + -5) 4x + (3 * 15 + 7x * 15) = 9(1x + -5) 4x + (45 + 105x) = 9(1x + -5) Reorder the terms: 45 + 4x + 105x = 9(1x + -5) Combine like terms: 4x + 105x = 109x 45 + 109x = 9(1x + -5) Reorder the terms: 45 + 109x = 9(-5 + 1x) 45 + 109x = (-5 * 9 + 1x * 9) 45 + 109x = (-45 + 9x) Solving 45 + 109x = -45 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 45 + 109x + -9x = -45 + 9x + -9x Combine like terms: 109x + -9x = 100x 45 + 100x = -45 + 9x + -9x Combine like terms: 9x + -9x = 0 45 + 100x = -45 + 0 45 + 100x = -45 Add '-45' to each side of the equation. 45 + -45 + 100x = -45 + -45 Combine like terms: 45 + -45 = 0 0 + 100x = -45 + -45 100x = -45 + -45 Combine like terms: -45 + -45 = -90 100x = -90 Divide each side by '100'. x = -0.9 Simplifying x = -0.9
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