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Simplifying 3x + -9(2x + 4) = 3 + -8(2 + -4x) Reorder the terms: 3x + -9(4 + 2x) = 3 + -8(2 + -4x) 3x + (4 * -9 + 2x * -9) = 3 + -8(2 + -4x) 3x + (-36 + -18x) = 3 + -8(2 + -4x) Reorder the terms: -36 + 3x + -18x = 3 + -8(2 + -4x) Combine like terms: 3x + -18x = -15x -36 + -15x = 3 + -8(2 + -4x) -36 + -15x = 3 + (2 * -8 + -4x * -8) -36 + -15x = 3 + (-16 + 32x) Combine like terms: 3 + -16 = -13 -36 + -15x = -13 + 32x Solving -36 + -15x = -13 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -36 + -15x + -32x = -13 + 32x + -32x Combine like terms: -15x + -32x = -47x -36 + -47x = -13 + 32x + -32x Combine like terms: 32x + -32x = 0 -36 + -47x = -13 + 0 -36 + -47x = -13 Add '36' to each side of the equation. -36 + 36 + -47x = -13 + 36 Combine like terms: -36 + 36 = 0 0 + -47x = -13 + 36 -47x = -13 + 36 Combine like terms: -13 + 36 = 23 -47x = 23 Divide each side by '-47'. x = -0.4893617021 Simplifying x = -0.4893617021
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