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Simplifying 3x + -6(5x + 3) + 2x = 4 + -2x(6) + 5(3x + -9) Reorder the terms: 3x + -6(3 + 5x) + 2x = 4 + -2x(6) + 5(3x + -9) 3x + (3 * -6 + 5x * -6) + 2x = 4 + -2x(6) + 5(3x + -9) 3x + (-18 + -30x) + 2x = 4 + -2x(6) + 5(3x + -9) Reorder the terms: -18 + 3x + -30x + 2x = 4 + -2x(6) + 5(3x + -9) Combine like terms: 3x + -30x = -27x -18 + -27x + 2x = 4 + -2x(6) + 5(3x + -9) Combine like terms: -27x + 2x = -25x -18 + -25x = 4 + -2x(6) + 5(3x + -9) Reorder the terms for easier multiplication: -18 + -25x = 4 + -2 * 6x + 5(3x + -9) Multiply -2 * 6 -18 + -25x = 4 + -12x + 5(3x + -9) Reorder the terms: -18 + -25x = 4 + -12x + 5(-9 + 3x) -18 + -25x = 4 + -12x + (-9 * 5 + 3x * 5) -18 + -25x = 4 + -12x + (-45 + 15x) Reorder the terms: -18 + -25x = 4 + -45 + -12x + 15x Combine like terms: 4 + -45 = -41 -18 + -25x = -41 + -12x + 15x Combine like terms: -12x + 15x = 3x -18 + -25x = -41 + 3x Solving -18 + -25x = -41 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -18 + -25x + -3x = -41 + 3x + -3x Combine like terms: -25x + -3x = -28x -18 + -28x = -41 + 3x + -3x Combine like terms: 3x + -3x = 0 -18 + -28x = -41 + 0 -18 + -28x = -41 Add '18' to each side of the equation. -18 + 18 + -28x = -41 + 18 Combine like terms: -18 + 18 = 0 0 + -28x = -41 + 18 -28x = -41 + 18 Combine like terms: -41 + 18 = -23 -28x = -23 Divide each side by '-28'. x = 0.8214285714 Simplifying x = 0.8214285714
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