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Simplifying 7 + -2(3x + 2) = 3x + 4(x + -9) Reorder the terms: 7 + -2(2 + 3x) = 3x + 4(x + -9) 7 + (2 * -2 + 3x * -2) = 3x + 4(x + -9) 7 + (-4 + -6x) = 3x + 4(x + -9) Combine like terms: 7 + -4 = 3 3 + -6x = 3x + 4(x + -9) Reorder the terms: 3 + -6x = 3x + 4(-9 + x) 3 + -6x = 3x + (-9 * 4 + x * 4) 3 + -6x = 3x + (-36 + 4x) Reorder the terms: 3 + -6x = -36 + 3x + 4x Combine like terms: 3x + 4x = 7x 3 + -6x = -36 + 7x Solving 3 + -6x = -36 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 3 + -6x + -7x = -36 + 7x + -7x Combine like terms: -6x + -7x = -13x 3 + -13x = -36 + 7x + -7x Combine like terms: 7x + -7x = 0 3 + -13x = -36 + 0 3 + -13x = -36 Add '-3' to each side of the equation. 3 + -3 + -13x = -36 + -3 Combine like terms: 3 + -3 = 0 0 + -13x = -36 + -3 -13x = -36 + -3 Combine like terms: -36 + -3 = -39 -13x = -39 Divide each side by '-13'. x = 3 Simplifying x = 3
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