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Simplifying 7x + -3(x + -9) = 2(x + -3) + 4 Reorder the terms: 7x + -3(-9 + x) = 2(x + -3) + 4 7x + (-9 * -3 + x * -3) = 2(x + -3) + 4 7x + (27 + -3x) = 2(x + -3) + 4 Reorder the terms: 27 + 7x + -3x = 2(x + -3) + 4 Combine like terms: 7x + -3x = 4x 27 + 4x = 2(x + -3) + 4 Reorder the terms: 27 + 4x = 2(-3 + x) + 4 27 + 4x = (-3 * 2 + x * 2) + 4 27 + 4x = (-6 + 2x) + 4 Reorder the terms: 27 + 4x = -6 + 4 + 2x Combine like terms: -6 + 4 = -2 27 + 4x = -2 + 2x Solving 27 + 4x = -2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 27 + 4x + -2x = -2 + 2x + -2x Combine like terms: 4x + -2x = 2x 27 + 2x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 27 + 2x = -2 + 0 27 + 2x = -2 Add '-27' to each side of the equation. 27 + -27 + 2x = -2 + -27 Combine like terms: 27 + -27 = 0 0 + 2x = -2 + -27 2x = -2 + -27 Combine like terms: -2 + -27 = -29 2x = -29 Divide each side by '2'. x = -14.5 Simplifying x = -14.5
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