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Simplifying 2x + -3(2x + -9) = 2(3x + -8) + 9x Reorder the terms: 2x + -3(-9 + 2x) = 2(3x + -8) + 9x 2x + (-9 * -3 + 2x * -3) = 2(3x + -8) + 9x 2x + (27 + -6x) = 2(3x + -8) + 9x Reorder the terms: 27 + 2x + -6x = 2(3x + -8) + 9x Combine like terms: 2x + -6x = -4x 27 + -4x = 2(3x + -8) + 9x Reorder the terms: 27 + -4x = 2(-8 + 3x) + 9x 27 + -4x = (-8 * 2 + 3x * 2) + 9x 27 + -4x = (-16 + 6x) + 9x Combine like terms: 6x + 9x = 15x 27 + -4x = -16 + 15x Solving 27 + -4x = -16 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 27 + -4x + -15x = -16 + 15x + -15x Combine like terms: -4x + -15x = -19x 27 + -19x = -16 + 15x + -15x Combine like terms: 15x + -15x = 0 27 + -19x = -16 + 0 27 + -19x = -16 Add '-27' to each side of the equation. 27 + -27 + -19x = -16 + -27 Combine like terms: 27 + -27 = 0 0 + -19x = -16 + -27 -19x = -16 + -27 Combine like terms: -16 + -27 = -43 -19x = -43 Divide each side by '-19'. x = 2.263157895 Simplifying x = 2.263157895
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