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Simplifying 7x + -3(2x + -9) = 6(2 + x) + 4 Reorder the terms: 7x + -3(-9 + 2x) = 6(2 + x) + 4 7x + (-9 * -3 + 2x * -3) = 6(2 + x) + 4 7x + (27 + -6x) = 6(2 + x) + 4 Reorder the terms: 27 + 7x + -6x = 6(2 + x) + 4 Combine like terms: 7x + -6x = 1x 27 + 1x = 6(2 + x) + 4 27 + 1x = (2 * 6 + x * 6) + 4 27 + 1x = (12 + 6x) + 4 Reorder the terms: 27 + 1x = 12 + 4 + 6x Combine like terms: 12 + 4 = 16 27 + 1x = 16 + 6x Solving 27 + 1x = 16 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 27 + 1x + -6x = 16 + 6x + -6x Combine like terms: 1x + -6x = -5x 27 + -5x = 16 + 6x + -6x Combine like terms: 6x + -6x = 0 27 + -5x = 16 + 0 27 + -5x = 16 Add '-27' to each side of the equation. 27 + -27 + -5x = 16 + -27 Combine like terms: 27 + -27 = 0 0 + -5x = 16 + -27 -5x = 16 + -27 Combine like terms: 16 + -27 = -11 -5x = -11 Divide each side by '-5'. x = 2.2 Simplifying x = 2.2
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